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Exploring Materials Synthesis with MP Data and Reaction Networks

Author: Matthew McDermott
Last updated: 08/05/21

Goal

Learn how to build & interpret phase diagrams using MP data and apply these to predict reaction pathways in inorganic materials synthesis.

Outline

  1. Identifying a target system
  2. Building phase diagrams
  3. Predicting interface reactions between solids
  4. Enumerating all possible reactions to a specific target phase
  5. Constructing a reaction network from enumerated reactions
  6. Finding and balancing reaction pathways

1. Identifying a target system

Scenario:

While researching ferroelectric materials, you stumble upon a compound that has shown much promise as a multiferroic material: yttrium manganese oxide, YMnO\(_3\). When you consult the literature, it looks like there are many different approaches for making this material: solid-state synthesis, chimie douce methods, microwave-assisted synthesis, pulsed laser deposition, hydrothermal synthesis, etc.

In almost all of the papers you find, however, the authors describe significant difficulty in synthesizing phase-pure YMnO\(_3\). For example: - "... observation that crystallization at low temperature or high oxygen partial pressures gives a mixture of Y2Mn2O7 together with YMnO3" Brinks et al., Journal of Solid State Chemistry 129, 334-340 (1997). - "The solid state synthesis of YMnO3 requires very long procedure with repeated heating and grinding" Z. Brankovic et al. Ceramics International 41 (2015) - "There are still challenges to be addressed with respect to hydrothermal synthesis of h-YMnO3, most notably the difficulty in synthesising phase pure h-YMnO3. This is a result of the complexity of the system, with a total of eight crystalline phases having been detected throughout the course of the reaction." Marshall et al., Chem Eur. J 2020, 26, 9330-9337 (2020).

Being familiar with the Materials Project database and pymatgen, you decide to check the database to see if it can help answer the question: why is phase-pure YMnO\(_3\) so difficult to synthesize?

We previously learned how to use the MPRester to access computed data on the Materials Project. Let's start by importing MPRester:

from mp_api.matproj import MPRester

1.1 EXERCISE: Acquiring entries from MP

Using the MPRester, acquire all entries from the Materials Project with the composition YMnO\(_3\) in the cell below:

with MPRester() as mpr:
    entries = mpr.get_entries(chemsys_formula="YMnO3")
/usr/share/miniconda/envs/workshop/lib/python3.9/site-packages/maggma/api/utils.py:104: RuntimeWarning: fields may not start with an underscore, ignoring "_framework_formula"
  for model in get_flat_models_from_model(pydantic_model)
/usr/share/miniconda/envs/workshop/lib/python3.9/site-packages/maggma/api/utils.py:104: RuntimeWarning: fields may not start with an underscore, ignoring "_stable_entries"
  for model in get_flat_models_from_model(pydantic_model)
/usr/share/miniconda/envs/workshop/lib/python3.9/site-packages/maggma/api/utils.py:104: RuntimeWarning: fields may not start with an underscore, ignoring "_unstable_entries"
  for model in get_flat_models_from_model(pydantic_model)

1.2 Exploring downloaded entries

Now let's take a look at one of the downloaded entry objects.

In the ComputedStructureEntry printout, we can see the uncorrected energy, correction, final energy, and the various parameters/data associated with the calculation.

Since this is hard to interpret, it will be easier for us to reformat the entries into a pandas DataFrame with the relevant information. First we import pandas:

import pandas

And then we create a function to help us wrangle the entries into the DataFrame format:

def get_df_from_entries(entries):
    formulas = [e.composition.reduced_formula for e in entries]
    energies = [e.energy_per_atom for e in entries]
    spacegroups = [e.structure.get_space_group_info()[0] for e in entries]
    structures = [e.structure for e in entries]

    data = {"formula": formulas, "energy": energies, "spacegroup": spacegroups, "entry":entries}

    df = pandas.DataFrame(data).sort_values("energy")

    return df

The dataframe can now be easily created by calling this function:

df = get_df_from_entries(entries)
df
formula energy spacegroup entry
4 YMnO3 -9.130481 P6_3cm mp-19385 ComputedStructureEntry - Y6 Mn6 O18 ...
0 YMnO3 -9.109891 P6_3/mmc mp-19227 ComputedStructureEntry - Y2 Mn2 O6 ...
3 YMnO3 -9.107394 Pnma mp-20699 ComputedStructureEntry - Y4 Mn4 O12 ...
1 YMnO3 -8.805429 Pm-3m mp-1434307 ComputedStructureEntry - Y1 Mn1 O3 ...
2 YMnO3 -8.731478 Pnma mp-20699 ComputedStructureEntry - Y4 Mn4 O12 ...

We see that there are several polymorphs of similar energy. The lowest energy polymorph is the hexagonal YMnO\(_3\) phase which is well known as the thermodynamically stable phase in the literature:

structure = df.iloc[0]["entry"].structure
print(structure)
Full Formula (Y6 Mn6 O18)
Reduced Formula: YMnO3
abc   :   6.233022   6.233022  11.589090
angles:  90.000000  90.000000 119.999996
Sites (30)
  #  SP           a         b         c    magmom
---  ----  --------  --------  --------  --------
  0  Y     0.666667  0.333333  0.233045     0.019
  1  Y     0.333333  0.666667  0.733045     0.019
  2  Y     0.666667  0.333333  0.733045     0.019
  3  Y     0.333333  0.666667  0.233045     0.019
  4  Y     0         0         0.775978     0.016
  5  Y     0         0         0.275978     0.016
  6  Mn    0.666399  0         0.501375     3.939
  7  Mn    0.666399  0.666399  0.001375     3.931
  8  Mn    0         0.333601  0.001375     3.931
  9  Mn    0         0.666399  0.501375     3.939
 10  Mn    0.333601  0.333601  0.501375     3.939
 11  Mn    0.333601  0         0.001375     3.931
 12  O     0.666667  0.333333  0.021222    -0.035
 13  O     0.333333  0.666667  0.521222    -0.026
 14  O     0.666667  0.333333  0.521222    -0.026
 15  O     0.333333  0.666667  0.021222    -0.035
 16  O     0         0         0.97754     -0.03
 17  O     0         0         0.47754     -0.022
 18  O     0.358595  0         0.837277    -0.026
 19  O     0.358595  0.358595  0.337277    -0.026
 20  O     0         0.641405  0.337277    -0.026
 21  O     0         0.358595  0.837277    -0.026
 22  O     0.641405  0.641405  0.837277    -0.026
 23  O     0.641405  0         0.337277    -0.026
 24  O     0.307715  0         0.165664    -0.03
 25  O     0.307715  0.307715  0.665664    -0.03
 26  O     0         0.692285  0.665664    -0.03
 27  O     0         0.307715  0.165664    -0.03
 28  O     0.692285  0.692285  0.165664    -0.03
 29  O     0.692285  0         0.665664    -0.03

If we want to interactively view this structure in JupyterLab, we can also import crystal_toolkit to view it:

import crystal_toolkit
structure
If you see this text, the Crystal Toolkit Jupyter Lab 

extension is not installed. You can install it by running 

"pip install crystaltoolkit-extension" 

from the same environment you run "jupyter lab". 

This only works in Jupyter Lab 3.x or above.


Structure Summary
Lattice
    abc : 6.2330216584852325 6.2330216584852325 11.58909
 angles : 90.0 90.0 119.99999637504301
 volume : 389.9215651386502
      A : 3.116511 -5.397955 0.0
      B : 3.116511 5.397955 0.0
      C : 0.0 0.0 11.58909
PeriodicSite: Y (3.1165, -1.7993, 2.7008) [0.6667, 0.3333, 0.2330]
PeriodicSite: Y (3.1165, 1.7993, 8.4953) [0.3333, 0.6667, 0.7330]
PeriodicSite: Y (3.1165, -1.7993, 8.4953) [0.6667, 0.3333, 0.7330]
PeriodicSite: Y (3.1165, 1.7993, 2.7008) [0.3333, 0.6667, 0.2330]
PeriodicSite: Y (0.0000, 0.0000, 8.9929) [0.0000, 0.0000, 0.7760]
PeriodicSite: Y (0.0000, 0.0000, 3.1983) [0.0000, 0.0000, 0.2760]
PeriodicSite: Mn (2.0768, -3.5972, 5.8105) [0.6664, 0.0000, 0.5014]
PeriodicSite: Mn (4.1537, 0.0000, 0.0159) [0.6664, 0.6664, 0.0014]
PeriodicSite: Mn (1.0397, 1.8008, 0.0159) [0.0000, 0.3336, 0.0014]
PeriodicSite: Mn (2.0768, 3.5972, 5.8105) [0.0000, 0.6664, 0.5014]
PeriodicSite: Mn (2.0793, 0.0000, 5.8105) [0.3336, 0.3336, 0.5014]
PeriodicSite: Mn (1.0397, -1.8008, 0.0159) [0.3336, 0.0000, 0.0014]
PeriodicSite: O (3.1165, -1.7993, 0.2459) [0.6667, 0.3333, 0.0212]
PeriodicSite: O (3.1165, 1.7993, 6.0405) [0.3333, 0.6667, 0.5212]
PeriodicSite: O (3.1165, -1.7993, 6.0405) [0.6667, 0.3333, 0.5212]
PeriodicSite: O (3.1165, 1.7993, 0.2459) [0.3333, 0.6667, 0.0212]
PeriodicSite: O (0.0000, 0.0000, 11.3288) [0.0000, 0.0000, 0.9775]
PeriodicSite: O (0.0000, 0.0000, 5.5343) [0.0000, 0.0000, 0.4775]
PeriodicSite: O (1.1176, -1.9357, 9.7033) [0.3586, 0.0000, 0.8373]
PeriodicSite: O (2.2351, -0.0000, 3.9087) [0.3586, 0.3586, 0.3373]
PeriodicSite: O (1.9989, 3.4623, 3.9087) [0.0000, 0.6414, 0.3373]
PeriodicSite: O (1.1176, 1.9357, 9.7033) [0.0000, 0.3586, 0.8373]
PeriodicSite: O (3.9979, -0.0000, 9.7033) [0.6414, 0.6414, 0.8373]
PeriodicSite: O (1.9989, -3.4623, 3.9087) [0.6414, 0.0000, 0.3373]
PeriodicSite: O (0.9590, -1.6610, 1.9199) [0.3077, 0.0000, 0.1657]
PeriodicSite: O (1.9180, -0.0000, 7.7144) [0.3077, 0.3077, 0.6657]
PeriodicSite: O (2.1575, 3.7369, 7.7144) [0.0000, 0.6923, 0.6657]
PeriodicSite: O (0.9590, 1.6610, 1.9199) [0.0000, 0.3077, 0.1657]
PeriodicSite: O (4.3150, 0.0000, 1.9199) [0.6923, 0.6923, 0.1657]
PeriodicSite: O (2.1575, -3.7369, 7.7144) [0.6923, 0.0000, 0.6657]

2. Building phase diagrams

Now that we've confirmed the existence of the target phase within the MP database, we'd like to better understand phase competition within the Y-Mn-O system. This means answering questions suchs as:

  1. Just how stable is YMnO\(_3\)?
  2. How much energy is released upon formation of YMnO\(_3\) from the corresponding binary oxides?
  3. What other phases might compete against the formation of YMnO\(_3\)?
  4. What kinds of oxygen chemical potentials stabilize YMnO\(_3\)?

These are all questions that can be answered by constructing phase diagrams within pymatgen.

2.1 EXERCISE: Acquiring all entries within the chemical system

Let's start by downloading entries for the full Y-Mn-O system using MPRester. How many entries exist within the full Y-Mn-O system?

with MPRester() as mpr:
    entries = mpr.get_entries_in_chemsys("Y-Mn-O")
print(len(entries))
160

2.2 Compositional phase diagrams

Now that we have all the entries within the Y-Mn-O system, we can create a ternary compositional phase diagram by simply passing the list of entries to create a PhaseDiagram object. Let's first import this class from the phase_diagram module:

from pymatgen.analysis.phase_diagram import PhaseDiagram

And we can create the phase diagram:

pd = PhaseDiagram(entries)

To plot the phase diagram, we can either: 1. Create a PDPlotter object and call get_plot() with custom arguments 2. Create a PDPlotter object and call show() 3. In JupyterLab, just type the name of the phase diagram object in a cell and click "enter"!

Let's do option 1 so that we can see the possible arguments of the plotting function. First we import PDPlotter:

from pymatgen.analysis.phase_diagram import PDPlotter

And then we create the plotting object and call the get_plot() function:

plotter = PDPlotter(pd)
plotter.get_plot()
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o.PolyChart()},o.BarChart.defaultConfig=function(){return{geometryConfig:{geometryType:"bar"}}},o.AreaChart=function(){return o.PolyChart()},o.AreaChart.defaultConfig=function(){return{geometryConfig:{geometryType:"arc"}}},o.DotPlot=function(){return o.PolyChart()},o.DotPlot.defaultConfig=function(){return{geometryConfig:{geometryType:"dot",dotType:"circle"}}},o.LinePlot=function(){return o.PolyChart()},o.LinePlot.defaultConfig=function(){return{geometryConfig:{geometryType:"line"}}},o.Legend=function(){var t=o.Legend.defaultConfig(),e=n.dispatch("hover");function r(){var e=t.legendConfig,a=t.data.map((function(t,r){return[].concat(t).map((function(t,n){var a=i({},e.elements[r]);return a.name=t,a.color=[].concat(e.elements[r].color)[n],a}))})),o=n.merge(a);o=o.filter((function(t,r){return e.elements[r]&&(e.elements[r].visibleInLegend||"undefined"==typeof e.elements[r].visibleInLegend)})),e.reverseOrder&&(o=o.reverse());var s=e.container;("string"==typeof 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t}}),h.append("rect").classed("legend-mark",!0).attr({height:e.height,width:e.colorBandWidth,fill:"url(#grad1)"})}else{var y=h.select(".legend-marks").selectAll("path.legend-mark").data(o);y.enter().append("path").classed("legend-mark",!0),y.attr({transform:function(t,e){return"translate("+[c/2,m(e)+c/2]+")"},d:function(t,e){var r,i,a,o=t.symbol;return a=3*(i=c),"line"===(r=o)?"M"+[[-i/2,-i/12],[i/2,-i/12],[i/2,i/12],[-i/2,i/12]]+"Z":-1!=n.svg.symbolTypes.indexOf(r)?n.svg.symbol().type(r).size(a)():n.svg.symbol().type("square").size(a)()},fill:function(t,e){return g(e)}}),y.exit().remove()}var x=n.svg.axis().scale(m).orient("right"),b=h.select("g.legend-axis").attr({transform:"translate("+[u?e.colorBandWidth:c,c/2]+")"}).call(x);return b.selectAll(".domain").style({fill:"none",stroke:"none"}),b.selectAll("line").style({fill:"none",stroke:u?e.textColor:"none"}),b.selectAll("text").style({fill:e.textColor,"font-size":e.fontSize}).text((function(t,e){return o[e].name})),r}return r.config=function(e){return arguments.length?(i(t,e),this):t},n.rebind(r,e,"on"),r},o.Legend.defaultConfig=function(t,e){return{data:["a","b","c"],legendConfig:{elements:[{symbol:"line",color:"red"},{symbol:"square",color:"yellow"},{symbol:"diamond",color:"limegreen"}],height:150,colorBandWidth:30,fontSize:12,container:"body",isContinuous:null,textColor:"grey",reverseOrder:!1}}},o.tooltipPanel=function(){var t,e,r,a={container:null,hasTick:!1,fontSize:12,color:"white",padding:5},s="tooltip-"+o.tooltipPanel.uid++,l=10,c=function(){var n=(t=a.container.selectAll("g."+s).data([0])).enter().append("g").classed(s,!0).style({"pointer-events":"none",display:"none"});return r=n.append("path").style({fill:"white","fill-opacity":.9}).attr({d:"M0 0"}),e=n.append("text").attr({dx:a.padding+l,dy:.3*+a.fontSize}),c};return c.text=function(i){var o=n.hsl(a.color).l,s=o>=.5?"#aaa":"white",u=o>=.5?"black":"white",f=i||"";e.style({fill:u,"font-size":a.fontSize+"px"}).text(f);var h=a.padding,p=e.node().getBBox(),d={fill:a.color,stroke:s,"stroke-width":"2px"},g=p.width+2*h+l,m=p.height+2*h;return r.attr({d:"M"+[[l,-m/2],[l,-m/4],[a.hasTick?0:l,0],[l,m/4],[l,m/2],[g,m/2],[g,-m/2]].join("L")+"Z"}).style(d),t.attr({transform:"translate("+[l,-m/2+2*h]+")"}),t.style({display:"block"}),c},c.move=function(e){if(t)return t.attr({transform:"translate("+[e[0],e[1]]+")"}).style({display:"block"}),c},c.hide=function(){if(t)return t.style({display:"none"}),c},c.show=function(){if(t)return t.style({display:"block"}),c},c.config=function(t){return i(a,t),c},c},o.tooltipPanel.uid=1,o.adapter={},o.adapter.plotly=function(){var t={convert:function(t,e){var r={};if(t.data&&(r.data=t.data.map((function(t,r){var n=i({},t);return[[n,["marker","color"],["color"]],[n,["marker","opacity"],["opacity"]],[n,["marker","line","color"],["strokeColor"]],[n,["marker","line","dash"],["strokeDash"]],[n,["marker","line","width"],["strokeSize"]],[n,["marker","symbol"],["dotType"]],[n,["marker","size"],["dotSize"]],[n,["marker","barWidth"],["barWidth"]],[n,["line","interpolation"],["lineInterpolation"]],[n,["showlegend"],["visibleInLegend"]]].forEach((function(t,r){o.util.translator.apply(null,t.concat(e))})),e||delete n.marker,e&&delete n.groupId,e?("LinePlot"===n.geometry?(n.type="scatter",!0===n.dotVisible?(delete n.dotVisible,n.mode="lines+markers"):n.mode="lines"):"DotPlot"===n.geometry?(n.type="scatter",n.mode="markers"):"AreaChart"===n.geometry?n.type="area":"BarChart"===n.geometry&&(n.type="bar"),delete n.geometry):("scatter"===n.type?"lines"===n.mode?n.geometry="LinePlot":"markers"===n.mode?n.geometry="DotPlot":"lines+markers"===n.mode&&(n.geometry="LinePlot",n.dotVisible=!0):"area"===n.type?n.geometry="AreaChart":"bar"===n.type&&(n.geometry="BarChart"),delete n.mode,delete n.type),n})),!e&&t.layout&&"stack"===t.layout.barmode)){var a=o.util.duplicates(r.data.map((function(t,e){return t.geometry})));r.data.forEach((function(t,e){var n=a.indexOf(t.geometry);-1!=n&&(r.data[e].groupId=n)}))}if(t.layout){var s=i({},t.layout);if([[s,["plot_bgcolor"],["backgroundColor"]],[s,["showlegend"],["showLegend"]],[s,["radialaxis"],["radialAxis"]],[s,["angularaxis"],["angularAxis"]],[s.angularaxis,["showline"],["gridLinesVisible"]],[s.angularaxis,["showticklabels"],["labelsVisible"]],[s.angularaxis,["nticks"],["ticksCount"]],[s.angularaxis,["tickorientation"],["tickOrientation"]],[s.angularaxis,["ticksuffix"],["ticksSuffix"]],[s.angularaxis,["range"],["domain"]],[s.angularaxis,["endpadding"],["endPadding"]],[s.radialaxis,["showline"],["gridLinesVisible"]],[s.radialaxis,["tickorientation"],["tickOrientation"]],[s.radialaxis,["ticksuffix"],["ticksSuffix"]],[s.radialaxis,["range"],["domain"]],[s.angularAxis,["showline"],["gridLinesVisible"]],[s.angularAxis,["showticklabels"],["labelsVisible"]],[s.angularAxis,["nticks"],["ticksCount"]],[s.angularAxis,["tickorientation"],["tickOrientation"]],[s.angularAxis,["ticksuffix"],["ticksSuffix"]],[s.angularAxis,["range"],["domain"]],[s.angularAxis,["endpadding"],["endPadding"]],[s.radialAxis,["showline"],["gridLinesVisible"]],[s.radialAxis,["tickorientation"],["tickOrientation"]],[s.radialAxis,["ticksuffix"],["ticksSuffix"]],[s.radialAxis,["range"],["domain"]],[s.font,["outlinecolor"],["outlineColor"]],[s.legend,["traceorder"],["reverseOrder"]],[s,["labeloffset"],["labelOffset"]],[s,["defaultcolorrange"],["defaultColorRange"]]].forEach((function(t,r){o.util.translator.apply(null,t.concat(e))})),e?("undefined"!=typeof s.tickLength&&(s.angularaxis.ticklen=s.tickLength,delete s.tickLength),s.tickColor&&(s.angularaxis.tickcolor=s.tickColor,delete s.tickColor)):(s.angularAxis&&"undefined"!=typeof s.angularAxis.ticklen&&(s.tickLength=s.angularAxis.ticklen),s.angularAxis&&"undefined"!=typeof s.angularAxis.tickcolor&&(s.tickColor=s.angularAxis.tickcolor)),s.legend&&"boolean"!=typeof s.legend.reverseOrder&&(s.legend.reverseOrder="normal"!=s.legend.reverseOrder),s.legend&&"boolean"==typeof s.legend.traceorder&&(s.legend.traceorder=s.legend.traceorder?"reversed":"normal",delete s.legend.reverseOrder),s.margin&&"undefined"!=typeof s.margin.t){var l=["t","r","b","l","pad"],c=["top","right","bottom","left","pad"],u={};n.entries(s.margin).forEach((function(t,e){u[c[l.indexOf(t.key)]]=t.value})),s.margin=u}e&&(delete s.needsEndSpacing,delete s.minorTickColor,delete s.minorTicks,delete s.angularaxis.ticksCount,delete s.angularaxis.ticksCount,delete s.angularaxis.ticksStep,delete s.angularaxis.rewriteTicks,delete s.angularaxis.nticks,delete s.radialaxis.ticksCount,delete s.radialaxis.ticksCount,delete s.radialaxis.ticksStep,delete s.radialaxis.rewriteTicks,delete s.radialaxis.nticks),r.layout=s}return r}};return t}},{"../../../constants/alignment":745,"../../../lib":778,d3:169}],901:[function(t,e,r){"use strict";var n=t("d3"),i=t("../../../lib"),a=t("../../../components/color"),o=t("./micropolar"),s=t("./undo_manager"),l=i.extendDeepAll,c=e.exports={};c.framework=function(t){var e,r,i,a,u,f=new s;function h(r,s){return s&&(u=s),n.select(n.select(u).node().parentNode).selectAll(".svg-container>*:not(.chart-root)").remove(),e=e?l(e,r):r,i||(i=o.Axis()),a=o.adapter.plotly().convert(e),i.config(a).render(u),t.data=e.data,t.layout=e.layout,c.fillLayout(t),e}return h.isPolar=!0,h.svg=function(){return i.svg()},h.getConfig=function(){return e},h.getLiveConfig=function(){return o.adapter.plotly().convert(i.getLiveConfig(),!0)},h.getLiveScales=function(){return{t:i.angularScale(),r:i.radialScale()}},h.setUndoPoint=function(){var t,n,i=this,a=o.util.cloneJson(e);t=a,n=r,f.add({undo:function(){n&&i(n)},redo:function(){i(t)}}),r=o.util.cloneJson(a)},h.undo=function(){f.undo()},h.redo=function(){f.redo()},h},c.fillLayout=function(t){var e=n.select(t).selectAll(".plot-container"),r=e.selectAll(".svg-container"),i=t.framework&&t.framework.svg&&t.framework.svg(),o={width:800,height:600,paper_bgcolor:a.background,_container:e,_paperdiv:r,_paper:i};t._fullLayout=l(o,t.layout)}},{"../../../components/color":643,"../../../lib":778,"./micropolar":900,"./undo_manager":902,d3:169}],902:[function(t,e,r){"use strict";e.exports=function(){var t,e=[],r=-1,n=!1;function i(t,e){return t?(n=!0,t[e](),n=!1,this):this}return{add:function(t){return n||(e.splice(r+1,e.length-r),e.push(t),r=e.length-1),this},setCallback:function(e){t=e},undo:function(){var n=e[r];return n?(i(n,"undo"),r-=1,t&&t(n.undo),this):this},redo:function(){var n=e[r+1];return n?(i(n,"redo"),r+=1,t&&t(n.redo),this):this},clear:function(){e=[],r=-1},hasUndo:function(){return-1!==r},hasRedo:function(){return r=90||s>90&&l>=450?1:u<=0&&h<=0?0:Math.max(u,h);e=s<=180&&l>=180||s>180&&l>=540?-1:c>=0&&f>=0?0:Math.min(c,f);r=s<=270&&l>=270||s>270&&l>=630?-1:u>=0&&h>=0?0:Math.min(u,h);n=l>=360?1:c<=0&&f<=0?0:Math.max(c,f);return[e,r,n,i]}(p),b=x[2]-x[0],_=x[3]-x[1],w=h/f,T=Math.abs(_/b);w>T?(d=f,y=(h-(g=f*T))/n.h/2,m=[o[0],o[1]],v=[s[0]+y,s[1]-y]):(g=h,y=(f-(d=h/T))/n.w/2,m=[o[0]+y,o[1]-y],v=[s[0],s[1]]),this.xLength2=d,this.yLength2=g,this.xDomain2=m,this.yDomain2=v;var k=this.xOffset2=n.l+n.w*m[0],M=this.yOffset2=n.t+n.h*(1-v[1]),A=this.radius=d/b,S=this.innerRadius=e.hole*A,E=this.cx=k-A*x[0],C=this.cy=M+A*x[3],P=this.cxx=E-k,z=this.cyy=C-M;this.radialAxis=this.mockAxis(t,e,i,{_id:"x",side:{counterclockwise:"top",clockwise:"bottom"}[i.side],_realSide:i.side,domain:[S/n.w,A/n.w]}),this.angularAxis=this.mockAxis(t,e,a,{side:"right",domain:[0,Math.PI],autorange:!1}),this.doAutoRange(t,e),this.updateAngularAxis(t,e),this.updateRadialAxis(t,e),this.updateRadialAxisTitle(t,e),this.xaxis=this.mockCartesianAxis(t,e,{_id:"x",domain:m}),this.yaxis=this.mockCartesianAxis(t,e,{_id:"y",domain:v});var O=this.pathSubplot();this.clipPaths.forTraces.select("path").attr("d",O).attr("transform",l(P,z)),r.frontplot.attr("transform",l(k,M)).call(u.setClipUrl,this._hasClipOnAxisFalse?null:this.clipIds.forTraces,this.gd),r.bg.attr("d",O).attr("transform",l(E,C)).call(c.fill,e.bgcolor)},O.mockAxis=function(t,e,r,n){var i=o.extendFlat({},r,n);return d(i,e,t),i},O.mockCartesianAxis=function(t,e,r){var n=this,i=r._id,a=o.extendFlat({type:"linear"},r);p(a,t);var s={x:[0,2],y:[1,3]};return a.setRange=function(){var t=n.sectorBBox,r=s[i],o=n.radialAxis._rl,l=(o[1]-o[0])/(1-e.hole);a.range=[t[r[0]]*l,t[r[1]]*l]},a.isPtWithinRange="x"===i?function(t){return n.isPtInside(t)}:function(){return!0},a.setRange(),a.setScale(),a},O.doAutoRange=function(t,e){var r=this.gd,n=this.radialAxis,i=e.radialaxis;n.setScale(),g(r,n);var a=n.range;i.range=a.slice(),i._input.range=a.slice(),n._rl=[n.r2l(a[0],null,"gregorian"),n.r2l(a[1],null,"gregorian")]},O.updateRadialAxis=function(t,e){var r=this,n=r.gd,i=r.layers,a=r.radius,u=r.innerRadius,f=r.cx,p=r.cy,d=e.radialaxis,g=L(e.sector[0],360),m=r.radialAxis,v=u90&&g<=270&&(m.tickangle=180);var y=function(t){return l(m.l2p(t.x)+u,0)},x=D(d);if(r.radialTickLayout!==x&&(i["radial-axis"].selectAll(".xtick").remove(),r.radialTickLayout=x),v){m.setScale();var b=h.calcTicks(m),_=h.clipEnds(m,b),w=h.getTickSigns(m)[2];h.drawTicks(n,m,{vals:b,layer:i["radial-axis"],path:h.makeTickPath(m,0,w),transFn:y,crisp:!1}),h.drawGrid(n,m,{vals:_,layer:i["radial-grid"],path:function(t){return r.pathArc(m.r2p(t.x)+u)},transFn:o.noop,crisp:!1}),h.drawLabels(n,m,{vals:b,layer:i["radial-axis"],transFn:y,labelFns:h.makeLabelFns(m,0)})}var T=r.radialAxisAngle=r.vangles?P(R(I(d.angle),r.vangles)):d.angle,k=l(f,p),M=k+s(-T);F(i["radial-axis"],v&&(d.showticklabels||d.ticks),{transform:M}),F(i["radial-grid"],v&&d.showgrid,{transform:k}),F(i["radial-line"].select("line"),v&&d.showline,{x1:u,y1:0,x2:a,y2:0,transform:M}).attr("stroke-width",d.linewidth).call(c.stroke,d.linecolor)},O.updateRadialAxisTitle=function(t,e,r){var n=this.gd,i=this.radius,a=this.cx,o=this.cy,s=e.radialaxis,l=this.id+"title",c=void 0!==r?r:this.radialAxisAngle,f=I(c),h=Math.cos(f),p=Math.sin(f),d=0;if(s.title){var g=u.bBox(this.layers["radial-axis"].node()).height,m=s.title.font.size;d="counterclockwise"===s.side?-g-.4*m:g+.8*m}this.layers["radial-axis-title"]=x.draw(n,l,{propContainer:s,propName:this.id+".radialaxis.title",placeholder:C(n,"Click to enter radial axis title"),attributes:{x:a+i/2*h+d*p,y:o-i/2*p+d*h,"text-anchor":"middle"},transform:{rotate:-c}})},O.updateAngularAxis=function(t,e){var r=this,n=r.gd,i=r.layers,a=r.radius,u=r.innerRadius,f=r.cx,p=r.cy,d=e.angularaxis,g=r.angularAxis;r.fillViewInitialKey("angularaxis.rotation",d.rotation),g.setGeometry(),g.setScale();var m=function(t){return g.t2g(t.x)};"linear"===g.type&&"radians"===g.thetaunit&&(g.tick0=P(g.tick0),g.dtick=P(g.dtick));var v=function(t){return l(f+a*Math.cos(t),p-a*Math.sin(t))},y=h.makeLabelFns(g,0).labelStandoff,x={xFn:function(t){var e=m(t);return Math.cos(e)*y},yFn:function(t){var e=m(t),r=Math.sin(e)>0?.2:1;return-Math.sin(e)*(y+t.fontSize*r)+Math.abs(Math.cos(e))*(t.fontSize*A)},anchorFn:function(t){var e=m(t),r=Math.cos(e);return Math.abs(r)<.1?"middle":r>0?"start":"end"},heightFn:function(t,e,r){var n=m(t);return-.5*(1+Math.sin(n))*r}},b=D(d);r.angularTickLayout!==b&&(i["angular-axis"].selectAll("."+g._id+"tick").remove(),r.angularTickLayout=b);var _,w=h.calcTicks(g);if("linear"===e.gridshape?(_=w.map(m),o.angleDelta(_[0],_[1])<0&&(_=_.slice().reverse())):_=null,r.vangles=_,"category"===g.type&&(w=w.filter((function(t){return o.isAngleInsideSector(m(t),r.sectorInRad)}))),g.visible){var T="inside"===g.ticks?-1:1,k=(g.linewidth||1)/2;h.drawTicks(n,g,{vals:w,layer:i["angular-axis"],path:"M"+T*k+",0h"+T*g.ticklen,transFn:function(t){var e=m(t);return v(e)+s(-P(e))},crisp:!1}),h.drawGrid(n,g,{vals:w,layer:i["angular-grid"],path:function(t){var e=m(t),r=Math.cos(e),n=Math.sin(e);return"M"+[f+u*r,p-u*n]+"L"+[f+a*r,p-a*n]},transFn:o.noop,crisp:!1}),h.drawLabels(n,g,{vals:w,layer:i["angular-axis"],repositionOnUpdate:!0,transFn:function(t){return v(m(t))},labelFns:x})}F(i["angular-line"].select("path"),d.showline,{d:r.pathSubplot(),transform:l(f,p)}).attr("stroke-width",d.linewidth).call(c.stroke,d.linecolor)},O.updateFx=function(t,e){this.gd._context.staticPlot||(this.updateAngularDrag(t),this.updateRadialDrag(t,e,0),this.updateRadialDrag(t,e,1),this.updateMainDrag(t))},O.updateMainDrag=function(t){var e,r,s=this,c=s.gd,u=s.layers,f=t._zoomlayer,h=S.MINZOOM,p=S.OFFEDGE,d=s.radius,g=s.innerRadius,x=s.cx,T=s.cy,k=s.cxx,M=s.cyy,A=s.sectorInRad,C=s.vangles,L=s.radialAxis,I=E.clampTiny,P=E.findXYatLength,z=E.findEnclosingVertexAngles,O=S.cornerHalfWidth,D=S.cornerLen/2,R=m.makeDragger(u,"path","maindrag","crosshair");n.select(R).attr("d",s.pathSubplot()).attr("transform",l(x,T));var F,B,N,j,U,V,q,H,G,Y={element:R,gd:c,subplot:s.id,plotinfo:{id:s.id,xaxis:s.xaxis,yaxis:s.yaxis},xaxes:[s.xaxis],yaxes:[s.yaxis]};function W(t,e){return Math.sqrt(t*t+e*e)}function X(t,e){return W(t-k,e-M)}function Z(t,e){return 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0})},{"../../lib/extend":768,"../../plots/attributes":824,"../../plots/template_attributes":906,"./constants":1108}],1107:[function(t,e,r){"use strict";var n=t("../../lib"),i=t("./constants"),a=t("fast-isnumeric"),o=t("../../plots/cartesian/axes"),s=t("../../lib").maxRowLength,l=t("./helpers").getImageSize;function c(t,e,r,i){return function(a){return n.constrain((a-t)*e,r,i)}}function u(t,e){return function(r){return n.constrain(r,t,e)}}e.exports=function(t,e){var r,n;if(e._hasZ)r=e.z.length,n=s(e.z);else if(e._hasSource){var f=l(e.source);r=f.height,n=f.width}var h,p=o.getFromId(t,e.xaxis||"x"),d=o.getFromId(t,e.yaxis||"y"),g=p.d2c(e.x0)-e.dx/2,m=d.d2c(e.y0)-e.dy/2,v=[g,g+n*e.dx],y=[m,m+r*e.dy];if(p&&"log"===p.type)for(h=0;h0||n.inbox(r-o.y0,r-(o.y0+o.h*s.dy),0)>0)){var u,f=Math.floor((e-o.x0)/s.dx),h=Math.floor(Math.abs(r-o.y0)/s.dy);if(s._hasZ?u=o.z[h][f]:s._hasSource&&(u=s._canvas.el.getContext("2d").getImageData(f,h,1,1).data),u){var p,d=o.hi||s.hoverinfo;if(d){var g=d.split("+");-1!==g.indexOf("all")&&(g=["color"]),-1!==g.indexOf("color")&&(p=!0)}var m,v=a.colormodel[s.colormodel],y=v.colormodel||s.colormodel,x=y.length,b=s._scaler(u),_=v.suffix,w=[];(s.hovertemplate||p)&&(w.push("["+[b[0]+_[0],b[1]+_[1],b[2]+_[2]].join(", ")),4===x&&w.push(", "+b[3]+_[3]),w.push("]"),w=w.join(""),t.extraText=y.toUpperCase()+": "+w),Array.isArray(s.hovertext)&&Array.isArray(s.hovertext[h])?m=s.hovertext[h][f]:Array.isArray(s.text)&&Array.isArray(s.text[h])&&(m=s.text[h][f]);var T=c.c2p(o.y0+(h+.5)*s.dy),k=o.x0+(f+.5)*s.dx,M=o.y0+(h+.5)*s.dy,A="["+u.slice(0,s.colormodel.length).join(", ")+"]";return[i.extendFlat(t,{index:[h,f],x0:l.c2p(o.x0+f*s.dx),x1:l.c2p(o.x0+(f+1)*s.dx),y0:T,y1:T,color:b,xVal:k,xLabelVal:k,yVal:M,yLabelVal:M,zLabelVal:A,text:m,hovertemplateLabels:{zLabel:A,colorLabel:w,"color[0]Label":b[0]+_[0],"color[1]Label":b[1]+_[1],"color[2]Label":b[2]+_[2],"color[3]Label":b[3]+_[3]}})]}}}},{"../../components/fx":683,"../../lib":778,"./constants":1108}],1113:[function(t,e,r){"use strict";e.exports={attributes:t("./attributes"),supplyDefaults:t("./defaults"),calc:t("./calc"),plot:t("./plot"),style:t("./style"),hoverPoints:t("./hover"),eventData:t("./event_data"),moduleType:"trace",name:"image",basePlotModule:t("../../plots/cartesian"),categories:["cartesian","svg","2dMap","noSortingByValue"],animatable:!1,meta:{}}},{"../../plots/cartesian":841,"./attributes":1106,"./calc":1107,"./defaults":1109,"./event_data":1110,"./hover":1112,"./plot":1114,"./style":1115}],1114:[function(t,e,r){"use strict";var n=t("d3"),i=t("../../lib"),a=i.strTranslate,o=t("../../constants/xmlns_namespaces"),s=t("./constants"),l=i.isIOS()||i.isSafari()||i.isIE();e.exports=function(t,e,r,c){var u=e.xaxis,f=e.yaxis,h=!(l||t._context._exportedPlot);i.makeTraceGroups(c,r,"im").each((function(e){var r=n.select(this),l=e[0],c=l.trace,p=h&&!c._hasZ&&c._hasSource&&"linear"===u.type&&"linear"===f.type;c._fastImage=p;var d,g,m,v,y,x,b=l.z,_=l.x0,w=l.y0,T=l.w,k=l.h,M=c.dx,A=c.dy;for(x=0;void 0===d&&x0;)g=u.c2p(_+x*M),x--;for(x=0;void 0===v&&x0;)y=f.c2p(w+x*A),x--;if(gP[0];if(z||O){var D=d+S/2,R=v+E/2;L+="transform:"+a(D+"px",R+"px")+"scale("+(z?-1:1)+","+(O?-1:1)+")"+a(-D+"px",-R+"px")+";"}}C.attr("style",L);var F=new Promise((function(t){if(c._hasZ)t();else if(c._hasSource)if(c._canvas&&c._canvas.el.width===T&&c._canvas.el.height===k&&c._canvas.source===c.source)t();else{var e=document.createElement("canvas");e.width=T,e.height=k;var r=e.getContext("2d");c._image=c._image||new Image;var n=c._image;n.onload=function(){r.drawImage(n,0,0),c._canvas={el:e,source:c.source},t()},n.setAttribute("src",c.source)}})).then((function(){var t;if(c._hasZ)t=B((function(t,e){return b[e][t]})).toDataURL("image/png");else if(c._hasSource)if(p)t=c.source;else{var e=c._canvas.el.getContext("2d").getImageData(0,0,T,k).data;t=B((function(t,r){var n=4*(r*T+t);return[e[n],e[n+1],e[n+2],e[n+3]]})).toDataURL("image/png")}C.attr({"xlink:href":t,height:E,width:S,x:d,y:v})}));t._promises.push(F)}function B(t){var e=document.createElement("canvas");e.width=S,e.height=E;var r,n=e.getContext("2d"),a=function(t){return i.constrain(Math.round(u.c2p(_+t*M)-d),0,S)},o=function(t){return i.constrain(Math.round(f.c2p(w+t*A)-v),0,E)},h=s.colormodel[c.colormodel],p=h.colormodel||c.colormodel,g=h.fmt;for(x=0;x0}function _(t){t.each((function(t){m.stroke(n.select(this),t.line.color)})).each((function(t){m.fill(n.select(this),t.color)})).style("stroke-width",(function(t){return t.line.width}))}function w(t,e,r){var n=t._fullLayout,a=i.extendFlat({type:"linear",ticks:"outside",range:r,showline:!0},e),o={type:"linear",_id:"x"+e._id},s={letter:"x",font:n.font,noHover:!0,noTickson:!0};function l(t,e){return i.coerce(a,o,g,t,e)}return p(a,o,l,s,n),d(a,o,l,s),o}function T(t,e,r){return[Math.min(e/t.width,r/t.height),t,e+"x"+r]}function k(t,e,r,i){var a=document.createElementNS("http://www.w3.org/2000/svg","text"),o=n.select(a);return o.text(t).attr("x",0).attr("y",0).attr("text-anchor",r).attr("data-unformatted",t).call(f.convertToTspans,i).call(c.font,e),c.bBox(o.node())}function M(t,e,r,n,a,o){var s="_cache"+e;t[s]&&t[s].key===a||(t[s]={key:a,value:r});var l=i.aggNums(o,null,[t[s].value,n],2);return t[s].value=l,l}e.exports=function(t,e,r,p){var d,g=t._fullLayout;b(r)&&p&&(d=p()),i.makeTraceGroups(g._indicatorlayer,e,"trace").each((function(e){var p,A,S,E,C,L=e[0].trace,I=n.select(this),P=L._hasGauge,z=L._isAngular,O=L._isBullet,D=L.domain,R={w:g._size.w*(D.x[1]-D.x[0]),h:g._size.h*(D.y[1]-D.y[0]),l:g._size.l+g._size.w*D.x[0],r:g._size.r+g._size.w*(1-D.x[1]),t:g._size.t+g._size.h*(1-D.y[1]),b:g._size.b+g._size.h*D.y[0]},F=R.l+R.w/2,B=R.t+R.h/2,N=Math.min(R.w/2,R.h),j=u.innerRadius*N,U=L.align||"center";if(A=B,P){if(z&&(p=F,A=B+N/2,S=function(t){return function(t,e){var r=Math.sqrt(t.width/2*(t.width/2)+t.height*t.height);return[e/r,t,e]}(t,.9*j)}),O){var V=u.bulletPadding,q=1-u.bulletNumberDomainSize+V;p=R.l+(q+(1-q)*y[U])*R.w,S=function(t){return T(t,(u.bulletNumberDomainSize-V)*R.w,R.h)}}}else p=R.l+y[U]*R.w,S=function(t){return T(t,R.w,R.h)};!function(t,e,r,s){var l,u,p,d=r[0].trace,g=s.numbersX,_=s.numbersY,T=d.align||"center",A=v[T],S=s.transitionOpts,E=s.onComplete,C=i.ensureSingle(e,"g","numbers"),L=[];d._hasNumber&&L.push("number");d._hasDelta&&(L.push("delta"),"left"===d.delta.position&&L.reverse());var I=C.selectAll("text").data(L);function P(e,r,n,i){if(!e.match("s")||n>=0==i>=0||r(n).slice(-1).match(x)||r(i).slice(-1).match(x))return r;var a=e.slice().replace("s","f").replace(/\d+/,(function(t){return parseInt(t)-1})),o=w(t,{tickformat:a});return function(t){return Math.abs(t)<1?h.tickText(o,t).text:r(t)}}I.enter().append("text"),I.attr("text-anchor",(function(){return A})).attr("class",(function(t){return t})).attr("x",null).attr("y",null).attr("dx",null).attr("dy",null),I.exit().remove();var z,O=d.mode+d.align;d._hasDelta&&(z=function(){var e=w(t,{tickformat:d.delta.valueformat},d._range);e.setScale(),h.prepTicks(e);var i=function(t){return h.tickText(e,t).text},a=function(t){return d.delta.relative?t.relativeDelta:t.delta},o=function(t,e){return 0===t||"number"!=typeof t||isNaN(t)?"-":(t>0?d.delta.increasing.symbol:d.delta.decreasing.symbol)+e(t)},s=function(t){return t.delta>=0?d.delta.increasing.color:d.delta.decreasing.color};void 0===d._deltaLastValue&&(d._deltaLastValue=a(r[0]));var l=C.select("text.delta");function p(){l.text(o(a(r[0]),i)).call(m.fill,s(r[0])).call(f.convertToTspans,t)}return l.call(c.font,d.delta.font).call(m.fill,s({delta:d._deltaLastValue})),b(S)?l.transition().duration(S.duration).ease(S.easing).tween("text",(function(){var t=n.select(this),e=a(r[0]),l=d._deltaLastValue,c=P(d.delta.valueformat,i,l,e),u=n.interpolateNumber(l,e);return d._deltaLastValue=e,function(e){t.text(o(u(e),c)),t.call(m.fill,s({delta:u(e)}))}})).each("end",(function(){p(),E&&E()})).each("interrupt",(function(){p(),E&&E()})):p(),u=k(o(a(r[0]),i),d.delta.font,A,t),l}(),O+=d.delta.position+d.delta.font.size+d.delta.font.family+d.delta.valueformat,O+=d.delta.increasing.symbol+d.delta.decreasing.symbol,p=u);d._hasNumber&&(!function(){var e=w(t,{tickformat:d.number.valueformat},d._range);e.setScale(),h.prepTicks(e);var i=function(t){return h.tickText(e,t).text},a=d.number.suffix,o=d.number.prefix,s=C.select("text.number");function u(){var e="number"==typeof r[0].y?o+i(r[0].y)+a:"-";s.text(e).call(c.font,d.number.font).call(f.convertToTspans,t)}b(S)?s.transition().duration(S.duration).ease(S.easing).each("end",(function(){u(),E&&E()})).each("interrupt",(function(){u(),E&&E()})).attrTween("text",(function(){var t=n.select(this),e=n.interpolateNumber(r[0].lastY,r[0].y);d._lastValue=r[0].y;var s=P(d.number.valueformat,i,r[0].lastY,r[0].y);return function(r){t.text(o+s(e(r))+a)}})):u(),l=k(o+i(r[0].y)+a,d.number.font,A,t)}(),O+=d.number.font.size+d.number.font.family+d.number.valueformat+d.number.suffix+d.number.prefix,p=l);if(d._hasDelta&&d._hasNumber){var D,R,F=[(l.left+l.right)/2,(l.top+l.bottom)/2],B=[(u.left+u.right)/2,(u.top+u.bottom)/2],N=.75*d.delta.font.size;"left"===d.delta.position&&(D=M(d,"deltaPos",0,-1*(l.width*y[d.align]+u.width*(1-y[d.align])+N),O,Math.min),R=F[1]-B[1],p={width:l.width+u.width+N,height:Math.max(l.height,u.height),left:u.left+D,right:l.right,top:Math.min(l.top,u.top+R),bottom:Math.max(l.bottom,u.bottom+R)}),"right"===d.delta.position&&(D=M(d,"deltaPos",0,l.width*(1-y[d.align])+u.width*y[d.align]+N,O,Math.max),R=F[1]-B[1],p={width:l.width+u.width+N,height:Math.max(l.height,u.height),left:l.left,right:u.right+D,top:Math.min(l.top,u.top+R),bottom:Math.max(l.bottom,u.bottom+R)}),"bottom"===d.delta.position&&(D=null,R=u.height,p={width:Math.max(l.width,u.width),height:l.height+u.height,left:Math.min(l.left,u.left),right:Math.max(l.right,u.right),top:l.bottom-l.height,bottom:l.bottom+u.height}),"top"===d.delta.position&&(D=null,R=l.top,p={width:Math.max(l.width,u.width),height:l.height+u.height,left:Math.min(l.left,u.left),right:Math.max(l.right,u.right),top:l.bottom-l.height-u.height,bottom:l.bottom}),z.attr({dx:D,dy:R})}(d._hasNumber||d._hasDelta)&&C.attr("transform",(function(){var t=s.numbersScaler(p);O+=t[2];var e,r=M(d,"numbersScale",1,t[0],O,Math.min);d._scaleNumbers||(r=1),e=d._isAngular?_-r*p.bottom:_-r*(p.top+p.bottom)/2,d._numbersTop=r*p.top+e;var n=p[T];"center"===T&&(n=(p.left+p.right)/2);var i=g-r*n;return i=M(d,"numbersTranslate",0,i,O,Math.max),o(i,e)+a(r)}))}(t,I,e,{numbersX:p,numbersY:A,numbersScaler:S,transitionOpts:r,onComplete:d}),P&&(E={range:L.gauge.axis.range,color:L.gauge.bgcolor,line:{color:L.gauge.bordercolor,width:0},thickness:1},C={range:L.gauge.axis.range,color:"rgba(0, 0, 0, 0)",line:{color:L.gauge.bordercolor,width:L.gauge.borderwidth},thickness:1});var H=I.selectAll("g.angular").data(z?e:[]);H.exit().remove();var G=I.selectAll("g.angularaxis").data(z?e:[]);G.exit().remove(),z&&function(t,e,r,i){var a,c,u,f,p=r[0].trace,d=i.size,g=i.radius,m=i.innerRadius,v=i.gaugeBg,y=i.gaugeOutline,x=[d.l+d.w/2,d.t+d.h/2+g/2],T=i.gauge,k=i.layer,M=i.transitionOpts,A=i.onComplete,S=Math.PI/2;function E(t){var e=p.gauge.axis.range[0],r=(t-e)/(p.gauge.axis.range[1]-e)*Math.PI-S;return r<-S?-S:r>S?S:r}function C(t){return n.svg.arc().innerRadius((m+g)/2-t/2*(g-m)).outerRadius((m+g)/2+t/2*(g-m)).startAngle(-S)}function L(t){t.attr("d",(function(t){return C(t.thickness).startAngle(E(t.range[0])).endAngle(E(t.range[1]))()}))}T.enter().append("g").classed("angular",!0),T.attr("transform",o(x[0],x[1])),k.enter().append("g").classed("angularaxis",!0).classed("crisp",!0),k.selectAll("g.xangularaxistick,path,text").remove(),(a=w(t,p.gauge.axis)).type="linear",a.range=p.gauge.axis.range,a._id="xangularaxis",a.setScale();var I=function(t){return(a.range[0]-t.x)/(a.range[1]-a.range[0])*Math.PI+Math.PI},P={},z=h.makeLabelFns(a,0).labelStandoff;P.xFn=function(t){var e=I(t);return Math.cos(e)*z},P.yFn=function(t){var e=I(t),r=Math.sin(e)>0?.2:1;return-Math.sin(e)*(z+t.fontSize*r)+Math.abs(Math.cos(e))*(t.fontSize*l)},P.anchorFn=function(t){var e=I(t),r=Math.cos(e);return 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j=N.select("path");b(M)?(j.transition().duration(M.duration).ease(M.easing).each("end",(function(){A&&A()})).each("interrupt",(function(){A&&A()})).attrTween("d",(U=B,V=E(r[0].lastY),q=E(r[0].y),function(){var t=n.interpolate(V,q);return function(e){return U.endAngle(t(e))()}})),p._lastValue=r[0].y):j.attr("d","number"==typeof r[0].y?B.endAngle(E(r[0].y)):"M0,0Z");var U,V,q;j.call(_),N.exit().remove(),R=[];var H=p.gauge.threshold.value;H&&R.push({range:[H,H],color:p.gauge.threshold.color,line:{color:p.gauge.threshold.line.color,width:p.gauge.threshold.line.width},thickness:p.gauge.threshold.thickness});var G=T.selectAll("g.threshold-arc").data(R);G.enter().append("g").classed("threshold-arc",!0).append("path"),G.select("path").call(L).call(_),G.exit().remove();var Y=T.selectAll("g.gauge-outline").data([y]);Y.enter().append("g").classed("gauge-outline",!0).append("path"),Y.select("path").call(L).call(_),Y.exit().remove()}(t,0,e,{radius:N,innerRadius:j,gauge:H,layer:G,size:R,gaugeBg:E,gaugeOutline:C,transitionOpts:r,onComplete:d});var Y=I.selectAll("g.bullet").data(O?e:[]);Y.exit().remove();var W=I.selectAll("g.bulletaxis").data(O?e:[]);W.exit().remove(),O&&function(t,e,r,n){var i,a,s,l,c,f=r[0].trace,p=n.gauge,d=n.layer,g=n.gaugeBg,v=n.gaugeOutline,y=n.size,x=f.domain,T=n.transitionOpts,k=n.onComplete;p.enter().append("g").classed("bullet",!0),p.attr("transform",o(y.l,y.t)),d.enter().append("g").classed("bulletaxis",!0).classed("crisp",!0),d.selectAll("g.xbulletaxistick,path,text").remove();var M=y.h,A=f.gauge.bar.thickness*M,S=x.x[0],E=x.x[0]+(x.x[1]-x.x[0])*(f._hasNumber||f._hasDelta?1-u.bulletNumberDomainSize:1);(i=w(t,f.gauge.axis))._id="xbulletaxis",i.domain=[S,E],i.setScale(),a=h.calcTicks(i),s=h.makeTransTickFn(i),l=h.getTickSigns(i)[2],c=y.t+y.h,i.visible&&(h.drawTicks(t,i,{vals:"inside"===i.ticks?h.clipEnds(i,a):a,layer:d,path:h.makeTickPath(i,c,l),transFn:s}),h.drawLabels(t,i,{vals:a,layer:d,transFn:s,labelFns:h.makeLabelFns(i,c)}));function C(t){t.attr("width",(function(t){return Math.max(0,i.c2p(t.range[1])-i.c2p(t.range[0]))})).attr("x",(function(t){return i.c2p(t.range[0])})).attr("y",(function(t){return.5*(1-t.thickness)*M})).attr("height",(function(t){return t.thickness*M}))}var L=[g].concat(f.gauge.steps),I=p.selectAll("g.bg-bullet").data(L);I.enter().append("g").classed("bg-bullet",!0).append("rect"),I.select("rect").call(C).call(_),I.exit().remove();var P=p.selectAll("g.value-bullet").data([f.gauge.bar]);P.enter().append("g").classed("value-bullet",!0).append("rect"),P.select("rect").attr("height",A).attr("y",(M-A)/2).call(_),b(T)?P.select("rect").transition().duration(T.duration).ease(T.easing).each("end",(function(){k&&k()})).each("interrupt",(function(){k&&k()})).attr("width",Math.max(0,i.c2p(Math.min(f.gauge.axis.range[1],r[0].y)))):P.select("rect").attr("width","number"==typeof r[0].y?Math.max(0,i.c2p(Math.min(f.gauge.axis.range[1],r[0].y))):0);P.exit().remove();var z=r.filter((function(){return 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r=[],n=0;n0&&(u.push(p.id),"x"===e?f.push([p.distRatio,0,0]):"y"===e?f.push([0,p.distRatio,0]):f.push([0,0,p.distRatio]))}else c=nt(1,"x"===e?b-1:"y"===e?_-1:w-1);u.length>0&&(r[i]="x"===e?tt(null,u,a,o,f,r[i]):"y"===e?et(null,u,a,o,f,r[i]):rt(null,u,a,o,f,r[i]),i++),c.length>0&&(r[i]="x"===e?Z(null,c,a,o,r[i]):"y"===e?J(null,c,a,o,r[i]):K(null,c,a,o,r[i]),i++)}var d=t.caps[e];d.show&&d.fill&&(O(d.fill),r[i]="x"===e?Z(null,[0,b-1],a,o,r[i]):"y"===e?J(null,[0,_-1],a,o,r[i]):K(null,[0,w-1],a,o,r[i]),i++)}})),0===m&&I(),t._meshX=n,t._meshY=i,t._meshZ=a,t._meshIntensity=o,t._Xs=v,t._Ys=y,t._Zs=x}(),t}e.exports={findNearestOnAxis:l,generateIsoMeshes:h,createIsosurfaceTrace:function(t,e){var r=t.glplot.gl,i=n({gl:r}),a=new c(t,i,e.uid);return i._trace=a,a.update(e),t.glplot.add(i),a}}},{"../../components/colorscale":655,"../../lib/gl_format_color":774,"../../lib/str2rgbarray":802,"../../plots/gl3d/zip3":881,"gl-mesh3d":309}],1126:[function(t,e,r){"use strict";var n=t("../../lib"),i=t("../../registry"),a=t("./attributes"),o=t("../../components/colorscale/defaults");function s(t,e,r,n,a){var s=a("isomin"),l=a("isomax");null!=l&&null!=s&&s>l&&(e.isomin=null,e.isomax=null);var c=a("x"),u=a("y"),f=a("z"),h=a("value");c&&c.length&&u&&u.length&&f&&f.length&&h&&h.length?(i.getComponentMethod("calendars","handleTraceDefaults")(t,e,["x","y","z"],n),["x","y","z"].forEach((function(t){var e="caps."+t;a(e+".show")&&a(e+".fill");var r="slices."+t;a(r+".show")&&(a(r+".fill"),a(r+".locations"))})),a("spaceframe.show")&&a("spaceframe.fill"),a("surface.show")&&(a("surface.count"),a("surface.fill"),a("surface.pattern")),a("contour.show")&&(a("contour.color"),a("contour.width")),["text","hovertext","hovertemplate","lighting.ambient","lighting.diffuse","lighting.specular","lighting.roughness","lighting.fresnel","lighting.vertexnormalsepsilon","lighting.facenormalsepsilon","lightposition.x","lightposition.y","lightposition.z","flatshading","opacity"].forEach((function(t){a(t)})),o(t,e,n,a,{prefix:"",cLetter:"c"}),e._length=null):e.visible=!1}e.exports={supplyDefaults:function(t,e,r,i){s(t,e,r,i,(function(r,i){return n.coerce(t,e,a,r,i)}))},supplyIsoDefaults:s}},{"../../components/colorscale/defaults":653,"../../lib":778,"../../registry":911,"./attributes":1123}],1127:[function(t,e,r){"use 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n=t("../../components/colorscale/attributes"),i=t("../../plots/template_attributes").hovertemplateAttrs,a=t("../surface/attributes"),o=t("../../plots/attributes"),s=t("../../lib/extend").extendFlat;e.exports=s({x:{valType:"data_array",editType:"calc+clearAxisTypes"},y:{valType:"data_array",editType:"calc+clearAxisTypes"},z:{valType:"data_array",editType:"calc+clearAxisTypes"},i:{valType:"data_array",editType:"calc"},j:{valType:"data_array",editType:"calc"},k:{valType:"data_array",editType:"calc"},text:{valType:"string",dflt:"",arrayOk:!0,editType:"calc"},hovertext:{valType:"string",dflt:"",arrayOk:!0,editType:"calc"},hovertemplate:i({editType:"calc"}),delaunayaxis:{valType:"enumerated",values:["x","y","z"],dflt:"z",editType:"calc"},alphahull:{valType:"number",dflt:-1,editType:"calc"},intensity:{valType:"data_array",editType:"calc"},intensitymode:{valType:"enumerated",values:["vertex","cell"],dflt:"vertex",editType:"calc"},color:{valType:"color",editType:"calc"},vertexcolor:{valType:"data_array",editType:"calc"},facecolor:{valType:"data_array",editType:"calc"},transforms:void 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n=t("../../components/colorscale/calc");e.exports=function(t,e){e.intensity&&n(t,e,{vals:e.intensity,containerStr:"",cLetter:"c"})}},{"../../components/colorscale/calc":651}],1130:[function(t,e,r){"use strict";var n=t("gl-mesh3d"),i=t("delaunay-triangulate"),a=t("alpha-shape"),o=t("convex-hull"),s=t("../../lib/gl_format_color").parseColorScale,l=t("../../lib/str2rgbarray"),c=t("../../components/colorscale").extractOpts,u=t("../../plots/gl3d/zip3");function f(t,e,r){this.scene=t,this.uid=r,this.mesh=e,this.name="",this.color="#fff",this.data=null,this.showContour=!1}var h=f.prototype;function p(t){for(var e=[],r=t.length,n=0;n=e-.5)return!1;return!0}h.handlePick=function(t){if(t.object===this.mesh){var e=t.index=t.data.index;t.data._cellCenter?t.traceCoordinate=t.data.dataCoordinate:t.traceCoordinate=[this.data.x[e],this.data.y[e],this.data.z[e]];var r=this.data.hovertext||this.data.text;return Array.isArray(r)&&void 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o=r("x"),s=r("open"),l=r("high"),c=r("low"),u=r("close");if(r("hoverlabel.split"),n.getComponentMethod("calendars","handleTraceDefaults")(t,e,["x"],a),s&&l&&c&&u){var f=Math.min(s.length,l.length,c.length,u.length);return o&&(f=Math.min(f,i.minRowLength(o))),e._length=f,f}}},{"../../lib":778,"../../registry":911}],1139:[function(t,e,r){"use strict";var n=t("d3"),i=t("../../lib");e.exports=function(t,e,r,a){var o=e.yaxis,s=e.xaxis,l=!!s.rangebreaks;i.makeTraceGroups(a,r,"trace ohlc").each((function(t){var e=n.select(this),r=t[0],a=r.t;if(!0!==r.trace.visible||a.empty)e.remove();else{var c=a.tickLen,u=e.selectAll("path").data(i.identity);u.enter().append("path"),u.exit().remove(),u.attr("d",(function(t){if(t.empty)return"M0,0Z";var e=s.c2p(t.pos-c,!0),r=s.c2p(t.pos+c,!0),n=l?(e+r)/2:s.c2p(t.pos,!0);return"M"+e+","+o.c2p(t.o,!0)+"H"+n+"M"+n+","+o.c2p(t.h,!0)+"V"+o.c2p(t.l,!0)+"M"+r+","+o.c2p(t.c,!0)+"H"+n}))}}))}},{"../../lib":778,d3:169}],1140:[function(t,e,r){"use 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n=t("d3"),i=t("../../plot_api/plot_api"),a=t("../../components/fx"),o=t("../../lib"),s=o.strTranslate,l=t("../../components/drawing"),c=t("tinycolor2"),u=t("../../lib/svg_text_utils");function f(t,e,r,i){var a=t.map(R.bind(0,e,r)),c=i.selectAll("g.parcatslayer").data([null]);c.enter().append("g").attr("class","parcatslayer").style("pointer-events","all");var f=c.selectAll("g.trace.parcats").data(a,h),v=f.enter().append("g").attr("class","trace parcats");f.attr("transform",(function(t){return s(t.x,t.y)})),v.append("g").attr("class","paths");var y=f.select("g.paths").selectAll("path.path").data((function(t){return t.paths}),h);y.attr("fill",(function(t){return t.model.color}));var _=y.enter().append("path").attr("class","path").attr("stroke-opacity",0).attr("fill",(function(t){return t.model.color})).attr("fill-opacity",0);b(_),y.attr("d",(function(t){return 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t.model.categoryLabel})).each((function(t){l.font(n.select(this),t.parcatsViewModel.categorylabelfont),u.convertToTspans(n.select(this),e)})),A.append("text").attr("class","dimlabel"),M.select("text.dimlabel").attr("text-anchor","middle").attr("alignment-baseline","baseline").attr("cursor",(function(t){return"fixed"===t.parcatsViewModel.arrangement?"default":"ew-resize"})).attr("x",(function(t){return t.width/2})).attr("y",-5).text((function(t,e){return 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z(t){for(var e,r=t.graphDiv._fullData,n=0;n=0;s--)u+="C"+c[s]+","+(e[s+1]+i)+" "+l[s]+","+(e[s]+i)+" "+(t[s]+r[s])+","+(e[s]+i),u+="l-"+r[s]+",0 ";return u+="Z"}function B(t){var e=t.dimensions,r=t.model,n=e.map((function(t){return t.categories.map((function(t){return t.y}))})),i=t.model.dimensions.map((function(t){return t.categories.map((function(t){return t.displayInd}))})),a=t.model.dimensions.map((function(t){return t.displayInd})),o=t.dimensions.map((function(t){return t.model.dimensionInd})),s=e.map((function(t){return t.x})),l=e.map((function(t){return t.width})),c=[];for(var u in r.paths)r.paths.hasOwnProperty(u)&&c.push(r.paths[u]);function f(t){var e=t.categoryInds.map((function(t,e){return i[e][t]}));return o.map((function(t){return e[t]}))}c.sort((function(e,r){var n=f(e),i=f(r);return"backward"===t.sortpaths&&(n.reverse(),i.reverse()),n.push(e.valueInds[0]),i.push(r.valueInds[0]),t.bundlecolors&&(n.unshift(e.rawColor),i.unshift(r.rawColor)),ni?1:0}));for(var h=new Array(c.length),p=e[0].model.count,d=e[0].categories.map((function(t){return t.height})).reduce((function(t,e){return t+e})),g=0;g0?d*(v.count/p):0;for(var y,x=new Array(n.length),b=0;b1?(t.width-80-16)/(n-1):0)*i;var a,o,s,l,c,u=[],f=t.model.maxCats,h=e.categories.length,p=e.count,d=t.height-8*(f-1),g=8*(f-h)/2,m=e.categories.map((function(t){return{displayInd:t.displayInd,categoryInd:t.categoryInd}}));for(m.sort((function(t,e){return t.displayInd-e.displayInd})),c=0;c0?o.count/p*d:0,s={key:o.valueInds[0],model:o,width:16,height:a,y:null!==o.dragY?o.dragY:g,bands:[],parcatsViewModel:t},g=g+a+8,u.push(s);return{key:e.dimensionInd,x:null!==e.dragX?e.dragX:r,y:0,width:16,model:e,categories:u,parcatsViewModel:t,dragCategoryDisplayInd:null,dragDimensionDisplayInd:null,initialDragDimensionDisplayInds:null,initialDragCategoryDisplayInds:null,dragHasMoved:null,potentialClickBand:null}}e.exports=function(t,e,r,n){f(r,t,n,e)}},{"../../components/drawing":665,"../../components/fx":683,"../../lib":778,"../../lib/svg_text_utils":803,"../../plot_api/plot_api":814,d3:169,tinycolor2:576}],1148:[function(t,e,r){"use strict";var n=t("./parcats");e.exports=function(t,e,r,i){var a=t._fullLayout,o=a._paper,s=a._size;n(t,o,e,{width:s.w,height:s.h,margin:{t:s.t,r:s.r,b:s.b,l:s.l}},r,i)}},{"./parcats":1147}],1149:[function(t,e,r){"use strict";var n=t("../../components/colorscale/attributes"),i=t("../../plots/cartesian/layout_attributes"),a=t("../../plots/font_attributes"),o=t("../../plots/domain").attributes,s=t("../../lib/extend").extendFlat,l=t("../../plot_api/plot_template").templatedArray;e.exports={domain:o({name:"parcoords",trace:!0,editType:"plot"}),labelangle:{valType:"angle",dflt:0,editType:"plot"},labelside:{valType:"enumerated",values:["top","bottom"],dflt:"top",editType:"plot"},labelfont:a({editType:"plot"}),tickfont:a({editType:"plot"}),rangefont:a({editType:"plot"}),dimensions:l("dimension",{label:{valType:"string",editType:"plot"},tickvals:s({},i.tickvals,{editType:"plot"}),ticktext:s({},i.ticktext,{editType:"plot"}),tickformat:s({},i.tickformat,{editType:"plot"}),visible:{valType:"boolean",dflt:!0,editType:"plot"},range:{valType:"info_array",items:[{valType:"number",editType:"plot"},{valType:"number",editType:"plot"}],editType:"plot"},constraintrange:{valType:"info_array",freeLength:!0,dimensions:"1-2",items:[{valType:"number",editType:"plot"},{valType:"number",editType:"plot"}],editType:"plot"},multiselect:{valType:"boolean",dflt:!0,editType:"plot"},values:{valType:"data_array",editType:"calc"},editType:"calc"}),line:s({editType:"calc"},n("line",{colorscaleDflt:"Viridis",autoColorDflt:!1,editTypeOverride:"calc"}))}},{"../../components/colorscale/attributes":650,"../../lib/extend":768,"../../plot_api/plot_template":817,"../../plots/cartesian/layout_attributes":842,"../../plots/domain":855,"../../plots/font_attributes":856}],1150:[function(t,e,r){"use strict";var n=t("./constants"),i=t("d3"),a=t("../../lib/gup").keyFun,o=t("../../lib/gup").repeat,s=t("../../lib").sorterAsc,l=t("../../lib").strTranslate,c=n.bar.snapRatio;function u(t,e){return t*(1-c)+e*c}var f=n.bar.snapClose;function h(t,e){return t*(1-f)+e*f}function p(t,e,r,n){if(function(t,e){for(var r=0;r=e[r][0]&&t<=e[r][1])return!0;return!1}(r,n))return r;var i=t?-1:1,a=0,o=e.length-1;if(i<0){var s=a;a=o,o=s}for(var l=e[a],c=l,f=a;i*fe){h=r;break}}if(a=u,isNaN(a)&&(a=isNaN(f)||isNaN(h)?isNaN(f)?h:f:e-c[f][1]t[1]+r||e=.9*t[1]+.1*t[0]?"n":e<=.9*t[0]+.1*t[1]?"s":"ns"}(d,e);g&&(o.interval=l[a],o.intervalPix=d,o.region=g)}}if(t.ordinal&&!o.region){var m=t.unitTickvals,y=t.unitToPaddedPx.invert(e);for(r=0;r=x[0]&&y<=x[1]){o.clickableOrdinalRange=x;break}}}return o}function w(t,e){i.event.sourceEvent.stopPropagation();var r=e.height-i.mouse(t)[1]-2*n.verticalPadding,a=e.brush.svgBrush;a.wasDragged=!0,a._dragging=!0,a.grabbingBar?a.newExtent=[r-a.grabPoint,r+a.barLength-a.grabPoint].map(e.unitToPaddedPx.invert):a.newExtent=[a.startExtent,e.unitToPaddedPx.invert(r)].sort(s),e.brush.filterSpecified=!0,a.extent=a.stayingIntervals.concat([a.newExtent]),a.brushCallback(e),b(t.parentNode)}function T(t,e){var r=_(e,e.height-i.mouse(t)[1]-2*n.verticalPadding),a="crosshair";r.clickableOrdinalRange?a="pointer":r.region&&(a=r.region+"-resize"),i.select(document.body).style("cursor",a)}function k(t){t.on("mousemove",(function(t){i.event.preventDefault(),t.parent.inBrushDrag||T(this,t)})).on("mouseleave",(function(t){t.parent.inBrushDrag||y()})).call(i.behavior.drag().on("dragstart",(function(t){!function(t,e){i.event.sourceEvent.stopPropagation();var r=e.height-i.mouse(t)[1]-2*n.verticalPadding,a=e.unitToPaddedPx.invert(r),o=e.brush,s=_(e,r),l=s.interval,c=o.svgBrush;if(c.wasDragged=!1,c.grabbingBar="ns"===s.region,c.grabbingBar){var u=l.map(e.unitToPaddedPx);c.grabPoint=r-u[0]-n.verticalPadding,c.barLength=u[1]-u[0]}c.clickableOrdinalRange=s.clickableOrdinalRange,c.stayingIntervals=e.multiselect&&o.filterSpecified?o.filter.getConsolidated():[],l&&(c.stayingIntervals=c.stayingIntervals.filter((function(t){return t[0]!==l[0]&&t[1]!==l[1]}))),c.startExtent=s.region?l["s"===s.region?1:0]:a,e.parent.inBrushDrag=!0,c.brushStartCallback()}(this,t)})).on("drag",(function(t){w(this,t)})).on("dragend",(function(t){!function(t,e){var r=e.brush,n=r.filter,a=r.svgBrush;a._dragging||(T(t,e),w(t,e),e.brush.svgBrush.wasDragged=!1),a._dragging=!1,i.event.sourceEvent.stopPropagation();var o=a.grabbingBar;if(a.grabbingBar=!1,a.grabLocation=void 0,e.parent.inBrushDrag=!1,y(),!a.wasDragged)return a.wasDragged=void 0,a.clickableOrdinalRange?r.filterSpecified&&e.multiselect?a.extent.push(a.clickableOrdinalRange):(a.extent=[a.clickableOrdinalRange],r.filterSpecified=!0):o?(a.extent=a.stayingIntervals,0===a.extent.length&&A(r)):A(r),a.brushCallback(e),b(t.parentNode),void a.brushEndCallback(r.filterSpecified?n.getConsolidated():[]);var s=function(){n.set(n.getConsolidated())};if(e.ordinal){var l=e.unitTickvals;l[l.length-1]a.newExtent[0];a.extent=a.stayingIntervals.concat(c?[a.newExtent]:[]),a.extent.length||A(r),a.brushCallback(e),c?b(t.parentNode,s):(s(),b(t.parentNode))}else s();a.brushEndCallback(r.filterSpecified?n.getConsolidated():[])}(this,t)})))}function M(t,e){return t[0]-e[0]}function A(t){t.filterSpecified=!1,t.svgBrush.extent=[[-1/0,1/0]]}function S(t){for(var e,r=t.slice(),n=[],i=r.shift();i;){for(e=i.slice();(i=r.shift())&&i[0]<=e[1];)e[1]=Math.max(e[1],i[1]);n.push(e)}return 1===n.length&&n[0][0]>n[0][1]&&(n=[]),n}e.exports={makeBrush:function(t,e,r,n,i,a){var o,l=function(){var t,e,r=[];return{set:function(n){1===(r=n.map((function(t){return t.slice().sort(s)})).sort(M)).length&&r[0][0]===-1/0&&r[0][1]===1/0&&(r=[[0,-1]]),t=S(r),e=r.reduce((function(t,e){return[Math.min(t[0],e[0]),Math.max(t[1],e[1])]}),[1/0,-1/0])},get:function(){return r.slice()},getConsolidated:function(){return t},getBounds:function(){return e}}}();return l.set(r),{filter:l,filterSpecified:e,svgBrush:{extent:[],brushStartCallback:n,brushCallback:(o=i,function(t){var e=t.brush,r=function(t){return t.svgBrush.extent.map((function(t){return t.slice()}))}(e).slice();e.filter.set(r),o()}),brushEndCallback:a}}},ensureAxisBrush:function(t){var e=t.selectAll("."+n.cn.axisBrush).data(o,a);e.enter().append("g").classed(n.cn.axisBrush,!0),function(t){var e=t.selectAll(".background").data(o);e.enter().append("rect").classed("background",!0).call(d).call(g).style("pointer-events","auto").attr("transform",l(0,n.verticalPadding)),e.call(k).attr("height",(function(t){return t.height-n.verticalPadding}));var r=t.selectAll(".highlight-shadow").data(o);r.enter().append("line").classed("highlight-shadow",!0).attr("x",-n.bar.width/2).attr("stroke-width",n.bar.width+n.bar.strokeWidth).attr("stroke",n.bar.strokeColor).attr("opacity",n.bar.strokeOpacity).attr("stroke-linecap","butt"),r.attr("y1",(function(t){return t.height})).call(x);var i=t.selectAll(".highlight").data(o);i.enter().append("line").classed("highlight",!0).attr("x",-n.bar.width/2).attr("stroke-width",n.bar.width-n.bar.strokeWidth).attr("stroke",n.bar.fillColor).attr("opacity",n.bar.fillOpacity).attr("stroke-linecap","butt"),i.attr("y1",(function(t){return t.height})).call(x)}(e)},cleanRanges:function(t,e){if(Array.isArray(t[0])?(t=t.map((function(t){return t.sort(s)})),t=e.multiselect?S(t.sort(M)):[t[0]]):t=[t.sort(s)],e.tickvals){var r=e.tickvals.slice().sort(s);if(!(t=t.map((function(t){var e=[p(0,r,t[0],[]),p(1,r,t[1],[])];if(e[1]>e[0])return e})).filter((function(t){return t}))).length)return}return t.length>1?t:t[0]}}},{"../../lib":778,"../../lib/gup":775,"./constants":1153,d3:169}],1151:[function(t,e,r){"use strict";var n=t("d3"),i=t("../../plots/get_data").getModuleCalcData,a=t("./plot"),o=t("../../constants/xmlns_namespaces");r.name="parcoords",r.plot=function(t){var e=i(t.calcdata,"parcoords")[0];e.length&&a(t,e)},r.clean=function(t,e,r,n){var i=n._has&&n._has("parcoords"),a=e._has&&e._has("parcoords");i&&!a&&(n._paperdiv.selectAll(".parcoords").remove(),n._glimages.selectAll("*").remove())},r.toSVG=function(t){var e=t._fullLayout._glimages,r=n.select(t).selectAll(".svg-container");r.filter((function(t,e){return e===r.size()-1})).selectAll(".gl-canvas-context, .gl-canvas-focus").each((function(){var t=this.toDataURL("image/png");e.append("svg:image").attr({xmlns:o.svg,"xlink:href":t,preserveAspectRatio:"none",x:0,y:0,width:this.width,height:this.height})})),window.setTimeout((function(){n.selectAll("#filterBarPattern").attr("id","filterBarPattern")}),60)}},{"../../constants/xmlns_namespaces":754,"../../plots/get_data":865,"./plot":1160,d3:169}],1152:[function(t,e,r){"use strict";var n=t("../../lib").isArrayOrTypedArray,i=t("../../components/colorscale"),a=t("../../lib/gup").wrap;e.exports=function(t,e){var r,o;return i.hasColorscale(e,"line")&&n(e.line.color)?(r=e.line.color,o=i.extractOpts(e.line).colorscale,i.calc(t,e,{vals:r,containerStr:"line",cLetter:"c"})):(r=function(t){for(var e=new Array(t),r=0;rf&&(n.log("parcoords traces support up to "+f+" dimensions at the moment"),d.splice(f));var g=s(t,e,{name:"dimensions",layout:l,handleItemDefaults:p}),m=function(t,e,r,o,s){var l=s("line.color",r);if(i(t,"line")&&n.isArrayOrTypedArray(l)){if(l.length)return s("line.colorscale"),a(t,e,o,s,{prefix:"line.",cLetter:"c"}),l.length;e.line.color=r}return 1/0}(t,e,r,l,u);o(e,l,u),Array.isArray(g)&&g.length||(e.visible=!1),h(e,g,"values",m);var v={family:l.font.family,size:Math.round(l.font.size/1.2),color:l.font.color};n.coerceFont(u,"labelfont",v),n.coerceFont(u,"tickfont",v),n.coerceFont(u,"rangefont",v),u("labelangle"),u("labelside")}},{"../../components/colorscale/defaults":653,"../../components/colorscale/helpers":654,"../../lib":778,"../../plots/array_container_defaults":823,"../../plots/cartesian/axes":828,"../../plots/domain":855,"./attributes":1149,"./axisbrush":1150,"./constants":1153,"./merge_length":1158}],1155:[function(t,e,r){"use strict";var n=t("../../lib").isTypedArray;r.convertTypedArray=function(t){return n(t)?Array.prototype.slice.call(t):t},r.isOrdinal=function(t){return!!t.tickvals},r.isVisible=function(t){return t.visible||!("visible"in t)}},{"../../lib":778}],1156:[function(t,e,r){"use strict";e.exports={attributes:t("./attributes"),supplyDefaults:t("./defaults"),calc:t("./calc"),plot:t("./plot"),colorbar:{container:"line",min:"cmin",max:"cmax"},moduleType:"trace",name:"parcoords",basePlotModule:t("./base_plot"),categories:["gl","regl","noOpacity","noHover"],meta:{}}},{"./attributes":1149,"./base_plot":1151,"./calc":1152,"./defaults":1154,"./plot":1160}],1157:[function(t,e,r){"use strict";var n=t("glslify"),i=n(["precision highp float;\n#define GLSLIFY 1\n\nvarying vec4 fragColor;\n\nattribute vec4 p01_04, p05_08, p09_12, p13_16,\n p17_20, p21_24, p25_28, p29_32,\n p33_36, p37_40, p41_44, p45_48,\n p49_52, p53_56, p57_60, colors;\n\nuniform mat4 dim0A, dim1A, dim0B, dim1B, dim0C, dim1C, dim0D, dim1D,\n loA, hiA, loB, hiB, loC, hiC, loD, hiD;\n\nuniform vec2 resolution, viewBoxPos, viewBoxSize;\nuniform sampler2D mask, palette;\nuniform float maskHeight;\nuniform float drwLayer; // 0: context, 1: focus, 2: pick\nuniform vec4 contextColor;\n\nbool isPick = (drwLayer > 1.5);\nbool isContext = (drwLayer < 0.5);\n\nconst vec4 ZEROS = vec4(0.0, 0.0, 0.0, 0.0);\nconst vec4 UNITS = vec4(1.0, 1.0, 1.0, 1.0);\n\nfloat val(mat4 p, mat4 v) {\n return dot(matrixCompMult(p, v) * UNITS, UNITS);\n}\n\nfloat axisY(float ratio, mat4 A, mat4 B, mat4 C, mat4 D) {\n float y1 = val(A, dim0A) + val(B, dim0B) + val(C, dim0C) + val(D, dim0D);\n float y2 = val(A, dim1A) + val(B, dim1B) + val(C, dim1C) + val(D, dim1D);\n return y1 * (1.0 - ratio) + y2 * ratio;\n}\n\nint iMod(int a, int b) {\n return a - b * (a / b);\n}\n\nbool fOutside(float p, float lo, float hi) {\n return (lo < hi) && (lo > p || p > hi);\n}\n\nbool vOutside(vec4 p, vec4 lo, vec4 hi) {\n return (\n fOutside(p[0], lo[0], hi[0]) ||\n fOutside(p[1], lo[1], hi[1]) ||\n fOutside(p[2], lo[2], hi[2]) ||\n fOutside(p[3], lo[3], hi[3])\n );\n}\n\nbool mOutside(mat4 p, mat4 lo, mat4 hi) {\n return (\n vOutside(p[0], lo[0], hi[0]) ||\n vOutside(p[1], lo[1], hi[1]) ||\n vOutside(p[2], lo[2], hi[2]) ||\n vOutside(p[3], lo[3], hi[3])\n );\n}\n\nbool outsideBoundingBox(mat4 A, mat4 B, mat4 C, mat4 D) {\n return mOutside(A, loA, hiA) ||\n mOutside(B, loB, hiB) ||\n mOutside(C, loC, hiC) ||\n mOutside(D, loD, hiD);\n}\n\nbool outsideRasterMask(mat4 A, mat4 B, mat4 C, mat4 D) {\n mat4 pnts[4];\n pnts[0] = A;\n pnts[1] = B;\n pnts[2] = C;\n pnts[3] = D;\n\n for(int i = 0; i < 4; ++i) {\n for(int j = 0; j < 4; ++j) {\n for(int k = 0; k < 4; ++k) {\n if(0 == iMod(\n int(255.0 * texture2D(mask,\n vec2(\n (float(i * 2 + j / 2) + 0.5) / 8.0,\n (pnts[i][j][k] * (maskHeight - 1.0) + 1.0) / maskHeight\n ))[3]\n ) / int(pow(2.0, float(iMod(j * 4 + k, 8)))),\n 2\n )) return true;\n }\n }\n }\n return false;\n}\n\nvec4 position(bool isContext, float v, mat4 A, mat4 B, mat4 C, mat4 D) {\n float x = 0.5 * sign(v) + 0.5;\n float y = axisY(x, A, B, C, D);\n float z = 1.0 - abs(v);\n\n z += isContext ? 0.0 : 2.0 * float(\n outsideBoundingBox(A, B, C, D) ||\n outsideRasterMask(A, B, C, D)\n );\n\n return vec4(\n 2.0 * (vec2(x, y) * viewBoxSize + viewBoxPos) / resolution - 1.0,\n z,\n 1.0\n );\n}\n\nvoid main() {\n mat4 A = mat4(p01_04, p05_08, p09_12, p13_16);\n mat4 B = mat4(p17_20, p21_24, p25_28, p29_32);\n mat4 C = mat4(p33_36, p37_40, p41_44, p45_48);\n mat4 D = mat4(p49_52, p53_56, p57_60, ZEROS);\n\n float v = colors[3];\n\n gl_Position = position(isContext, v, A, B, C, D);\n\n fragColor =\n isContext ? vec4(contextColor) :\n isPick ? vec4(colors.rgb, 1.0) : texture2D(palette, vec2(abs(v), 0.5));\n}\n"]),a=n(["precision highp float;\n#define GLSLIFY 1\n\nvarying vec4 fragColor;\n\nvoid main() {\n gl_FragColor = fragColor;\n}\n"]),o=t("./constants").maxDimensionCount,s=t("../../lib"),l=new Uint8Array(4),c=new Uint8Array(4),u={shape:[256,1],format:"rgba",type:"uint8",mag:"nearest",min:"nearest"};function f(t,e,r,n,i){var a=t._gl;a.enable(a.SCISSOR_TEST),a.scissor(e,r,n,i),t.clear({color:[0,0,0,0],depth:1})}function h(t,e,r,n,i,a){var 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r=e._fullLayout,i=e._fullData[o.index];e._dragging||!1===r.hovermode||(e._hoverdata=[v(t,i)],a.click(e,n.event))}))}function b(t,e,r){var n=m.castOption(t.insidetextfont.color,e.pts);!n&&t._input.textfont&&(n=m.castOption(t._input.textfont.color,e.pts));var i=m.castOption(t.insidetextfont.family,e.pts)||m.castOption(t.textfont.family,e.pts)||r.family,a=m.castOption(t.insidetextfont.size,e.pts)||m.castOption(t.textfont.size,e.pts)||r.size;return{color:n||o.contrast(e.color),family:i,size:a}}function _(t,e){for(var r,n,i=0;ie&&e>n||r=-4;m-=2)v(Math.PI*m,"tan");for(m=4;m>=-4;m-=2)v(Math.PI*(m+1),"tan")}if(f||p){for(m=4;m>=-4;m-=2)v(Math.PI*(m+1.5),"rad");for(m=4;m>=-4;m-=2)v(Math.PI*(m+.5),"rad")}}if(s||d||f){var y=Math.sqrt(t.width*t.width+t.height*t.height);if((a={scale:i*n*2/y,rCenter:1-i,rotate:0}).textPosAngle=(e.startangle+e.stopangle)/2,a.scale>=1)return a;g.push(a)}(d||p)&&((a=T(t,n,o,l,c)).textPosAngle=(e.startangle+e.stopangle)/2,g.push(a)),(d||h)&&((a=k(t,n,o,l,c)).textPosAngle=(e.startangle+e.stopangle)/2,g.push(a));for(var x=0,b=0,_=0;_=1)break}return g[x]}function T(t,e,r,n,i){e=Math.max(0,e-2*g);var a=t.width/t.height,o=S(a,n,e,r);return{scale:2*o/t.height,rCenter:M(a,o/e),rotate:A(i)}}function k(t,e,r,n,i){e=Math.max(0,e-2*g);var a=t.height/t.width,o=S(a,n,e,r);return{scale:2*o/t.width,rCenter:M(a,o/e),rotate:A(i+Math.PI/2)}}function M(t,e){return Math.cos(e)-t*e}function A(t){return(180/Math.PI*t+720)%180-90}function S(t,e,r,n){var i=t+1/(2*Math.tan(e));return r*Math.min(1/(Math.sqrt(i*i+.5)+i),n/(Math.sqrt(t*t+n/2)+t))}function E(t,e){return t.v!==e.vTotal||e.trace.hole?Math.min(1/(1+1/Math.sin(t.halfangle)),t.ring/2):1}function C(t,e){var r=e.pxmid[0],n=e.pxmid[1],i=t.width/2,a=t.height/2;return r<0&&(i*=-1),n<0&&(a*=-1),{scale:1,rCenter:1,rotate:0,x:i+Math.abs(a)*(i>0?1:-1)/2,y:a/(1+r*r/(n*n)),outside:!0}}function L(t,e){var r,n,i,a=t.trace,o={x:t.cx,y:t.cy},s={tx:0,ty:0};s.ty+=a.title.font.size,i=P(a),-1!==a.title.position.indexOf("top")?(o.y-=(1+i)*t.r,s.ty-=t.titleBox.height):-1!==a.title.position.indexOf("bottom")&&(o.y+=(1+i)*t.r);var l,c,u=(l=t.r,c=t.trace.aspectratio,l/(void 0===c?1:c)),f=e.w*(a.domain.x[1]-a.domain.x[0])/2;return-1!==a.title.position.indexOf("left")?(f+=u,o.x-=(1+i)*u,s.tx+=t.titleBox.width/2):-1!==a.title.position.indexOf("center")?f*=2:-1!==a.title.position.indexOf("right")&&(f+=u,o.x+=(1+i)*u,s.tx-=t.titleBox.width/2),r=f/t.titleBox.width,n=I(t,e)/t.titleBox.height,{x:o.x,y:o.y,scale:Math.min(r,n),tx:s.tx,ty:s.ty}}function I(t,e){var r=t.trace,n=e.h*(r.domain.y[1]-r.domain.y[0]);return Math.min(t.titleBox.height,n/2)}function P(t){var e,r=t.pull;if(!r)return 0;if(Array.isArray(r))for(r=0,e=0;er&&(r=t.pull[e]);return r}function z(t,e){for(var r=[],n=0;n1?(c=r.r,u=c/i.aspectratio):(u=r.r,c=u*i.aspectratio),c*=(1+i.baseratio)/2,l=c*u}o=Math.min(o,l/r.vTotal)}for(n=0;n")}if(a){var x=l.castOption(i,e.i,"texttemplate");if(x){var b=function(t){return{label:t.label,value:t.v,valueLabel:m.formatPieValue(t.v,n.separators),percent:t.v/r.vTotal,percentLabel:m.formatPiePercent(t.v/r.vTotal,n.separators),color:t.color,text:t.text,customdata:l.castOption(i,t.i,"customdata")}}(e),_=m.getFirstFilled(i.text,e.pts);(y(_)||""===_)&&(b.text=_),e.text=l.texttemplateString(x,b,t._fullLayout._d3locale,b,i._meta||{})}else e.text=""}}function R(t,e){var r=t.rotate*Math.PI/180,n=Math.cos(r),i=Math.sin(r),a=(e.left+e.right)/2,o=(e.top+e.bottom)/2;t.textX=a*n-o*i,t.textY=a*i+o*n,t.noCenter=!0}e.exports={plot:function(t,e){var r=t._fullLayout,a=r._size;d("pie",r),_(e,t),z(e,a);var h=l.makeTraceGroups(r._pielayer,e,"trace").each((function(e){var h=n.select(this),d=e[0],g=d.trace;!function(t){var e,r,n,i=t[0],a=i.r,o=i.trace,s=m.getRotationAngle(o.rotation),l=2*Math.PI/i.vTotal,c="px0",u="px1";if("counterclockwise"===o.direction){for(e=0;ei.vTotal/2?1:0,r.halfangle=Math.PI*Math.min(r.v/i.vTotal,.5),r.ring=1-o.hole,r.rInscribed=E(r,i))}(e),h.attr("stroke-linejoin","round"),h.each((function(){var v=n.select(this).selectAll("g.slice").data(e);v.enter().append("g").classed("slice",!0),v.exit().remove();var y=[[[],[]],[[],[]]],_=!1;v.each((function(i,a){if(i.hidden)n.select(this).selectAll("path,g").remove();else{i.pointNumber=i.i,i.curveNumber=g.index,y[i.pxmid[1]<0?0:1][i.pxmid[0]<0?0:1].push(i);var o=d.cx,c=d.cy,u=n.select(this),h=u.selectAll("path.surface").data([i]);if(h.enter().append("path").classed("surface",!0).style({"pointer-events":"all"}),u.call(x,t,e),g.pull){var v=+m.castOption(g.pull,i.pts)||0;v>0&&(o+=v*i.pxmid[0],c+=v*i.pxmid[1])}i.cxFinal=o,i.cyFinal=c;var T=g.hole;if(i.v===d.vTotal){var k="M"+(o+i.px0[0])+","+(c+i.px0[1])+L(i.px0,i.pxmid,!0,1)+L(i.pxmid,i.px0,!0,1)+"Z";T?h.attr("d","M"+(o+T*i.px0[0])+","+(c+T*i.px0[1])+L(i.px0,i.pxmid,!1,T)+L(i.pxmid,i.px0,!1,T)+"Z"+k):h.attr("d",k)}else{var M=L(i.px0,i.px1,!0,1);if(T){var A=1-T;h.attr("d","M"+(o+T*i.px1[0])+","+(c+T*i.px1[1])+L(i.px1,i.px0,!1,T)+"l"+A*i.px0[0]+","+A*i.px0[1]+M+"Z")}else h.attr("d","M"+o+","+c+"l"+i.px0[0]+","+i.px0[1]+M+"Z")}D(t,i,d);var S=m.castOption(g.textposition,i.pts),E=u.selectAll("g.slicetext").data(i.text&&"none"!==S?[0]:[]);E.enter().append("g").classed("slicetext",!0),E.exit().remove(),E.each((function(){var u=l.ensureSingle(n.select(this),"text","",(function(t){t.attr("data-notex",1)})),h=l.ensureUniformFontSize(t,"outside"===S?function(t,e,r){var n=m.castOption(t.outsidetextfont.color,e.pts)||m.castOption(t.textfont.color,e.pts)||r.color,i=m.castOption(t.outsidetextfont.family,e.pts)||m.castOption(t.textfont.family,e.pts)||r.family,a=m.castOption(t.outsidetextfont.size,e.pts)||m.castOption(t.textfont.size,e.pts)||r.size;return{color:n,family:i,size:a}}(g,i,r.font):b(g,i,r.font));u.text(i.text).attr({class:"slicetext",transform:"","text-anchor":"middle"}).call(s.font,h).call(f.convertToTspans,t);var v,y=s.bBox(u.node());if("outside"===S)v=C(y,i);else if(v=w(y,i,d),"auto"===S&&v.scale<1){var x=l.ensureUniformFontSize(t,g.outsidetextfont);u.call(s.font,x),v=C(y=s.bBox(u.node()),i)}var T=v.textPosAngle,k=void 0===T?i.pxmid:O(d.r,T);if(v.targetX=o+k[0]*v.rCenter+(v.x||0),v.targetY=c+k[1]*v.rCenter+(v.y||0),R(v,y),v.outside){var M=v.targetY;i.yLabelMin=M-y.height/2,i.yLabelMid=M,i.yLabelMax=M+y.height/2,i.labelExtraX=0,i.labelExtraY=0,_=!0}v.fontSize=h.size,p(g.type,v,r),e[a].transform=v,u.attr("transform",l.getTextTransform(v))}))}function L(t,e,r,n){var a=n*(e[0]-t[0]),o=n*(e[1]-t[1]);return"a"+n*d.r+","+n*d.r+" 0 "+i.largeArc+(r?" 1 ":" 0 ")+a+","+o}}));var T=n.select(this).selectAll("g.titletext").data(g.title.text?[0]:[]);if(T.enter().append("g").classed("titletext",!0),T.exit().remove(),T.each((function(){var e,r=l.ensureSingle(n.select(this),"text","",(function(t){t.attr("data-notex",1)})),i=g.title.text;g._meta&&(i=l.templateString(i,g._meta)),r.text(i).attr({class:"titletext",transform:"","text-anchor":"middle"}).call(s.font,g.title.font).call(f.convertToTspans,t),e="middle center"===g.title.position?function(t){var e=Math.sqrt(t.titleBox.width*t.titleBox.width+t.titleBox.height*t.titleBox.height);return{x:t.cx,y:t.cy,scale:t.trace.hole*t.r*2/e,tx:0,ty:-t.titleBox.height/2+t.trace.title.font.size}}(d):L(d,a),r.attr("transform",u(e.x,e.y)+c(Math.min(1,e.scale))+u(e.tx,e.ty))})),_&&function(t,e){var r,n,i,a,o,s,l,c,u,f,h,p,d;function g(t,e){return t.pxmid[1]-e.pxmid[1]}function v(t,e){return e.pxmid[1]-t.pxmid[1]}function y(t,r){r||(r={});var i,c,u,h,p=r.labelExtraY+(n?r.yLabelMax:r.yLabelMin),d=n?t.yLabelMin:t.yLabelMax,g=n?t.yLabelMax:t.yLabelMin,v=t.cyFinal+o(t.px0[1],t.px1[1]),y=p-d;if(y*l>0&&(t.labelExtraY=y),Array.isArray(e.pull))for(c=0;c=(m.castOption(e.pull,u.pts)||0)||((t.pxmid[1]-u.pxmid[1])*l>0?(y=u.cyFinal+o(u.px0[1],u.px1[1])-d-t.labelExtraY)*l>0&&(t.labelExtraY+=y):(g+t.labelExtraY-v)*l>0&&(i=3*s*Math.abs(c-f.indexOf(t)),(h=u.cxFinal+a(u.px0[0],u.px1[0])+i-(t.cxFinal+t.pxmid[0])-t.labelExtraX)*s>0&&(t.labelExtraX+=h)))}for(n=0;n<2;n++)for(i=n?g:v,o=n?Math.max:Math.min,l=n?1:-1,r=0;r<2;r++){for(a=r?Math.max:Math.min,s=r?1:-1,(c=t[n][r]).sort(i),u=t[1-n][r],f=u.concat(c),p=[],h=0;hMath.abs(f)?s+="l"+f*t.pxmid[0]/t.pxmid[1]+","+f+"H"+(a+t.labelExtraX+c):s+="l"+t.labelExtraX+","+u+"v"+(f-u)+"h"+c}else s+="V"+(t.yLabelMid+t.labelExtraY)+"h"+c;l.ensureSingle(r,"path","textline").call(o.stroke,e.outsidetextfont.color).attr({"stroke-width":Math.min(2,e.outsidetextfont.size/8),d:s,fill:"none"})}else r.select("path.textline").remove()}))}(v,g),_&&g.automargin){var k=s.bBox(h.node()),M=g.domain,A=a.w*(M.x[1]-M.x[0]),S=a.h*(M.y[1]-M.y[0]),E=(.5*A-d.r)/a.w,I=(.5*S-d.r)/a.h;i.autoMargin(t,"pie."+g.uid+".automargin",{xl:M.x[0]-E,xr:M.x[1]+E,yb:M.y[0]-I,yt:M.y[1]+I,l:Math.max(d.cx-d.r-k.left,0),r:Math.max(k.right-(d.cx+d.r),0),b:Math.max(k.bottom-(d.cy+d.r),0),t:Math.max(d.cy-d.r-k.top,0),pad:5})}}))}));setTimeout((function(){h.selectAll("tspan").each((function(){var t=n.select(this);t.attr("dy")&&t.attr("dy",t.attr("dy"))}))}),0)},formatSliceLabel:D,transformInsideText:w,determineInsideTextFont:b,positionTitleOutside:L,prerenderTitles:_,layoutAreas:z,attachFxHandlers:x,computeTransform:R}},{"../../components/color":643,"../../components/drawing":665,"../../components/fx":683,"../../lib":778,"../../lib/svg_text_utils":803,"../../plots/plots":891,"../bar/constants":923,"../bar/uniform_text":937,"./event_data":1165,"./helpers":1166,d3:169}],1171:[function(t,e,r){"use strict";var n=t("d3"),i=t("./style_one"),a=t("../bar/uniform_text").resizeText;e.exports=function(t){var e=t._fullLayout._pielayer.selectAll(".trace");a(t,e,"pie"),e.each((function(t){var e=t[0].trace,r=n.select(this);r.style({opacity:e.opacity}),r.selectAll("path.surface").each((function(t){n.select(this).call(i,t,e)}))}))}},{"../bar/uniform_text":937,"./style_one":1172,d3:169}],1172:[function(t,e,r){"use strict";var n=t("../../components/color"),i=t("./helpers").castOption;e.exports=function(t,e,r){var a=r.marker.line,o=i(a.color,e.pts)||n.defaultLine,s=i(a.width,e.pts)||0;t.style("stroke-width",s).call(n.fill,e.color).call(n.stroke,o)}},{"../../components/color":643,"./helpers":1166}],1173:[function(t,e,r){"use strict";var n=t("../scatter/attributes");e.exports={x:n.x,y:n.y,xy:{valType:"data_array",editType:"calc"},indices:{valType:"data_array",editType:"calc"},xbounds:{valType:"data_array",editType:"calc"},ybounds:{valType:"data_array",editType:"calc"},text:n.text,marker:{color:{valType:"color",arrayOk:!1,editType:"calc"},opacity:{valType:"number",min:0,max:1,dflt:1,arrayOk:!1,editType:"calc"},blend:{valType:"boolean",dflt:null,editType:"calc"},sizemin:{valType:"number",min:.1,max:2,dflt:.5,editType:"calc"},sizemax:{valType:"number",min:.1,dflt:20,editType:"calc"},border:{color:{valType:"color",arrayOk:!1,editType:"calc"},arearatio:{valType:"number",min:0,max:1,dflt:0,editType:"calc"},editType:"calc"},editType:"calc"},transforms:void 0}},{"../scatter/attributes":1187}],1174:[function(t,e,r){"use strict";var n=t("gl-pointcloud2d"),i=t("../../lib/str2rgbarray"),a=t("../../plots/cartesian/autorange").findExtremes,o=t("../scatter/get_trace_color");function s(t,e){this.scene=t,this.uid=e,this.type="pointcloud",this.pickXData=[],this.pickYData=[],this.xData=[],this.yData=[],this.textLabels=[],this.color="rgb(0, 0, 0)",this.name="",this.hoverinfo="all",this.idToIndex=new Int32Array(0),this.bounds=[0,0,0,0],this.pointcloudOptions={positions:new Float32Array(0),idToIndex:this.idToIndex,sizemin:.5,sizemax:12,color:[0,0,0,1],areaRatio:1,borderColor:[0,0,0,1]},this.pointcloud=n(t.glplot,this.pointcloudOptions),this.pointcloud._trace=this}var l=s.prototype;l.handlePick=function(t){var e=this.idToIndex[t.pointId];return{trace:this,dataCoord:t.dataCoord,traceCoord:this.pickXYData?[this.pickXYData[2*e],this.pickXYData[2*e+1]]:[this.pickXData[e],this.pickYData[e]],textLabel:Array.isArray(this.textLabels)?this.textLabels[e]:this.textLabels,color:this.color,name:this.name,pointIndex:e,hoverinfo:this.hoverinfo}},l.update=function(t){this.index=t.index,this.textLabels=t.text,this.name=t.name,this.hoverinfo=t.hoverinfo,this.bounds=[1/0,1/0,-1/0,-1/0],this.updateFast(t),this.color=o(t,{})},l.updateFast=function(t){var e,r,n,o,s,l,c=this.xData=this.pickXData=t.x,u=this.yData=this.pickYData=t.y,f=this.pickXYData=t.xy,h=t.xbounds&&t.ybounds,p=t.indices,d=this.bounds;if(f){if(n=f,e=f.length>>>1,h)d[0]=t.xbounds[0],d[2]=t.xbounds[1],d[1]=t.ybounds[0],d[3]=t.ybounds[1];else for(l=0;ld[2]&&(d[2]=o),sd[3]&&(d[3]=s);if(p)r=p;else for(r=new Int32Array(e),l=0;ld[2]&&(d[2]=o),sd[3]&&(d[3]=s);this.idToIndex=r,this.pointcloudOptions.idToIndex=r,this.pointcloudOptions.positions=n;var g=i(t.marker.color),m=i(t.marker.border.color),v=t.opacity*t.marker.opacity;g[3]*=v,this.pointcloudOptions.color=g;var y=t.marker.blend;if(null===y){y=c.length<100||u.length<100}this.pointcloudOptions.blend=y,m[3]*=v,this.pointcloudOptions.borderColor=m;var x=t.marker.sizemin,b=Math.max(t.marker.sizemax,t.marker.sizemin);this.pointcloudOptions.sizeMin=x,this.pointcloudOptions.sizeMax=b,this.pointcloudOptions.areaRatio=t.marker.border.arearatio,this.pointcloud.update(this.pointcloudOptions);var _=this.scene.xaxis,w=this.scene.yaxis,T=b/2||.5;t._extremes[_._id]=a(_,[d[0],d[2]],{ppad:T}),t._extremes[w._id]=a(w,[d[1],d[3]],{ppad:T})},l.dispose=function(){this.pointcloud.dispose()},e.exports=function(t,e){var r=new s(t,e.uid);return r.update(e),r}},{"../../lib/str2rgbarray":802,"../../plots/cartesian/autorange":827,"../scatter/get_trace_color":1197,"gl-pointcloud2d":324}],1175:[function(t,e,r){"use strict";var n=t("../../lib"),i=t("./attributes");e.exports=function(t,e,r){function a(r,a){return n.coerce(t,e,i,r,a)}a("x"),a("y"),a("xbounds"),a("ybounds"),t.xy&&t.xy instanceof Float32Array&&(e.xy=t.xy),t.indices&&t.indices instanceof Int32Array&&(e.indices=t.indices),a("text"),a("marker.color",r),a("marker.opacity"),a("marker.blend"),a("marker.sizemin"),a("marker.sizemax"),a("marker.border.color",r),a("marker.border.arearatio"),e._length=null}},{"../../lib":778,"./attributes":1173}],1176:[function(t,e,r){"use strict";e.exports={attributes:t("./attributes"),supplyDefaults:t("./defaults"),calc:t("../scatter3d/calc"),plot:t("./convert"),moduleType:"trace",name:"pointcloud",basePlotModule:t("../../plots/gl2d"),categories:["gl","gl2d","showLegend"],meta:{}}},{"../../plots/gl2d":868,"../scatter3d/calc":1216,"./attributes":1173,"./convert":1174,"./defaults":1175}],1177:[function(t,e,r){"use strict";var n=t("../../plots/font_attributes"),i=t("../../plots/attributes"),a=t("../../components/color/attributes"),o=t("../../components/fx/attributes"),s=t("../../plots/domain").attributes,l=t("../../plots/template_attributes").hovertemplateAttrs,c=t("../../components/colorscale/attributes"),u=t("../../plot_api/plot_template").templatedArray,f=t("../../lib/extend").extendFlat,h=t("../../plot_api/edit_types").overrideAll;t("../../constants/docs").FORMAT_LINK;(e.exports=h({hoverinfo:f({},i.hoverinfo,{flags:[],arrayOk:!1}),hoverlabel:o.hoverlabel,domain:s({name:"sankey",trace:!0}),orientation:{valType:"enumerated",values:["v","h"],dflt:"h"},valueformat:{valType:"string",dflt:".3s"},valuesuffix:{valType:"string",dflt:""},arrangement:{valType:"enumerated",values:["snap","perpendicular","freeform","fixed"],dflt:"snap"},textfont:n({}),customdata:void 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n=t("../../plots/template_attributes").hovertemplateAttrs,i=t("../../plots/template_attributes").texttemplateAttrs,a=t("../scatter/attributes"),o=t("../../plots/attributes"),s=t("../../components/colorscale/attributes"),l=t("../../components/drawing/attributes").dash,c=t("../../lib/extend").extendFlat,u=a.marker,f=a.line,h=u.line;e.exports={a:{valType:"data_array",editType:"calc"},b:{valType:"data_array",editType:"calc"},c:{valType:"data_array",editType:"calc"},sum:{valType:"number",dflt:0,min:0,editType:"calc"},mode:c({},a.mode,{dflt:"markers"}),text:c({},a.text,{}),texttemplate:i({editType:"plot"},{keys:["a","b","c","text"]}),hovertext:c({},a.hovertext,{}),line:{color:f.color,width:f.width,dash:l,shape:c({},f.shape,{values:["linear","spline"]}),smoothing:f.smoothing,editType:"calc"},connectgaps:a.connectgaps,cliponaxis:a.cliponaxis,fill:c({},a.fill,{values:["none","toself","tonext"],dflt:"none"}),fillcolor:a.fillcolor,marker:c({symbol:u.symbol,opacity:u.opacity,maxdisplayed:u.maxdisplayed,size:u.size,sizeref:u.sizeref,sizemin:u.sizemin,sizemode:u.sizemode,line:c({width:h.width,editType:"calc"},s("marker.line")),gradient:u.gradient,editType:"calc"},s("marker")),textfont:a.textfont,textposition:a.textposition,selected:a.selected,unselected:a.unselected,hoverinfo:c({},o.hoverinfo,{flags:["a","b","c","text","name"]}),hoveron:a.hoveron,hovertemplate:n()}},{"../../components/colorscale/attributes":650,"../../components/drawing/attributes":664,"../../lib/extend":768,"../../plots/attributes":824,"../../plots/template_attributes":906,"../scatter/attributes":1187}],1276:[function(t,e,r){"use 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h(t,e,r){this.scene=t,this.uid=r,this.surface=e,this.data=null,this.showContour=[!1,!1,!1],this.contourStart=[null,null,null],this.contourEnd=[null,null,null],this.contourSize=[0,0,0],this.minValues=[1/0,1/0,1/0],this.maxValues=[-1/0,-1/0,-1/0],this.dataScaleX=1,this.dataScaleY=1,this.refineData=!0,this.objectOffset=[0,0,0]}var p=h.prototype;p.getXat=function(t,e,r,n){var i=l(this.data.x)?l(this.data.x[0])?this.data.x[e][t]:this.data.x[t]:t;return void 0===r?i:n.d2l(i,0,r)},p.getYat=function(t,e,r,n){var i=l(this.data.y)?l(this.data.y[0])?this.data.y[e][t]:this.data.y[e]:e;return void 0===r?i:n.d2l(i,0,r)},p.getZat=function(t,e,r,n){var i=this.data.z[e][t];return null===i&&this.data.connectgaps&&this.data._interpolatedZ&&(i=this.data._interpolatedZ[e][t]),void 0===r?i:n.d2l(i,0,r)},p.handlePick=function(t){if(t.object===this.surface){var e=(t.data.index[0]-1)/this.dataScaleX-1,r=(t.data.index[1]-1)/this.dataScaleY-1,n=Math.max(Math.min(Math.round(e),this.data.z[0].length-1),0),i=Math.max(Math.min(Math.round(r),this.data._ylength-1),0);t.index=[n,i],t.traceCoordinate=[this.getXat(n,i),this.getYat(n,i),this.getZat(n,i)],t.dataCoordinate=[this.getXat(n,i,this.data.xcalendar,this.scene.fullSceneLayout.xaxis),this.getYat(n,i,this.data.ycalendar,this.scene.fullSceneLayout.yaxis),this.getZat(n,i,this.data.zcalendar,this.scene.fullSceneLayout.zaxis)];for(var a=0;a<3;a++){var o=t.dataCoordinate[a];null!=o&&(t.dataCoordinate[a]*=this.scene.dataScale[a])}var s=this.data.hovertext||this.data.text;return Array.isArray(s)&&s[i]&&void 0!==s[i][n]?t.textLabel=s[i][n]:t.textLabel=s||"",t.data.dataCoordinate=t.dataCoordinate.slice(),this.surface.highlight(t.data),this.scene.glplot.spikes.position=t.dataCoordinate,!0}};var 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g(t,e){if(t0){r=d[n];break}return r}function y(t,e){if(!(t<1||e<1)){for(var r=m(t),n=m(e),i=1,a=0;a_;)r--,r/=v(r),++r1?n:1},p.refineCoords=function(t){for(var e=this.dataScaleX,r=this.dataScaleY,n=t[0].shape[0],a=t[0].shape[1],o=0|Math.floor(t[0].shape[0]*e+1),s=0|Math.floor(t[0].shape[1]*r+1),l=1+n+1,c=1+a+1,u=i(new Float32Array(l*c),[l,c]),f=[1/e,0,0,0,1/r,0,0,0,1],h=0;h0&&null!==this.contourStart[t]&&null!==this.contourEnd[t]&&this.contourEnd[t]>this.contourStart[t]))for(i[t]=!0,e=this.contourStart[t];ea&&(this.minValues[e]=a),this.maxValues[e]",maxDimensionCount:60,overdrag:45,releaseTransitionDuration:120,releaseTransitionEase:"cubic-out",scrollbarCaptureWidth:18,scrollbarHideDelay:1e3,scrollbarHideDuration:1e3,scrollbarOffset:5,scrollbarWidth:8,transitionDuration:100,transitionEase:"cubic-out",uplift:5,wrapSpacer:" ",wrapSplitCharacter:" 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r=l(e.cells.values),p=function(t){return t.slice(e.header.values.length,t.length)},d=l(e.header.values);d.length&&!d[0].length&&(d[0]=[""],d=l(d));var g=d.concat(p(r).map((function(){return c((d[0]||[""]).length)}))),m=e.domain,v=Math.floor(t._fullLayout._size.w*(m.x[1]-m.x[0])),y=Math.floor(t._fullLayout._size.h*(m.y[1]-m.y[0])),x=e.header.values.length?g[0].map((function(){return e.header.height})):[n.emptyHeaderHeight],b=r.length?r[0].map((function(){return e.cells.height})):[],_=x.reduce(s,0),w=h(b,y-_+n.uplift),T=f(h(x,_),[]),k=f(w,T),M={},A=e._fullInput.columnorder.concat(p(r.map((function(t,e){return e})))),S=g.map((function(t,r){var n=Array.isArray(e.columnwidth)?e.columnwidth[Math.min(r,e.columnwidth.length-1)]:e.columnwidth;return a(n)?Number(n):1})),E=S.reduce(s,0);S=S.map((function(t){return t/E*v}));var C=Math.max(o(e.header.line.width),o(e.cells.line.width)),L={key:e.uid+t._context.staticPlot,translateX:m.x[0]*t._fullLayout._size.w,translateY:t._fullLayout._size.h*(1-m.y[1]),size:t._fullLayout._size,width:v,maxLineWidth:C,height:y,columnOrder:A,groupHeight:y,rowBlocks:k,headerRowBlocks:T,scrollY:0,cells:i({},e.cells,{values:r}),headerCells:i({},e.header,{values:g}),gdColumns:g.map((function(t){return t[0]})),gdColumnsOriginalOrder:g.map((function(t){return t[0]})),prevPages:[0,0],scrollbarState:{scrollbarScrollInProgress:!1},columns:g.map((function(t,e){var r=M[t];return M[t]=(r||0)+1,{key:t+"__"+M[t],label:t,specIndex:e,xIndex:A[e],xScale:u,x:void 0,calcdata:void 0,columnWidth:S[e]}}))};return L.columns.forEach((function(t){t.calcdata=L,t.x=u(t)})),L}},{"../../lib/extend":768,"./constants":1319,"fast-isnumeric":241}],1321:[function(t,e,r){"use strict";var n=t("../../lib/extend").extendFlat;r.splitToPanels=function(t){var e=[0,0],r=n({},t,{key:"header",type:"header",page:0,prevPages:e,currentRepaint:[null,null],dragHandle:!0,values:t.calcdata.headerCells.values[t.specIndex],rowBlocks:t.calcdata.headerRowBlocks,calcdata:n({},t.calcdata,{cells:t.calcdata.headerCells})});return[n({},t,{key:"cells1",type:"cells",page:0,prevPages:e,currentRepaint:[null,null],dragHandle:!1,values:t.calcdata.cells.values[t.specIndex],rowBlocks:t.calcdata.rowBlocks}),n({},t,{key:"cells2",type:"cells",page:1,prevPages:e,currentRepaint:[null,null],dragHandle:!1,values:t.calcdata.cells.values[t.specIndex],rowBlocks:t.calcdata.rowBlocks}),r]},r.splitToCells=function(t){var e=function(t){var e=t.rowBlocks[t.page],r=e?e.rows[0].rowIndex:0,n=e?r+e.rows.length:0;return[r,n]}(t);return(t.values||[]).slice(e[0],e[1]).map((function(r,n){return{keyWithinBlock:n+("string"==typeof r&&r.match(/[<$&> ]/)?"_keybuster_"+Math.random():""),key:e[0]+n,column:t,calcdata:t.calcdata,page:t.page,rowBlocks:t.rowBlocks,value:r}}))}},{"../../lib/extend":768}],1322:[function(t,e,r){"use strict";var n=t("../../lib"),i=t("./attributes"),a=t("../../plots/domain").defaults;e.exports=function(t,e,r,o){function s(r,a){return n.coerce(t,e,i,r,a)}a(e,o,s),s("columnwidth"),s("header.values"),s("header.format"),s("header.align"),s("header.prefix"),s("header.suffix"),s("header.height"),s("header.line.width"),s("header.line.color"),s("header.fill.color"),n.coerceFont(s,"header.font",n.extendFlat({},o.font)),function(t,e){for(var r=t.columnorder||[],n=t.header.values.length,i=r.slice(0,n),a=i.slice().sort((function(t,e){return t-e})),o=i.map((function(t){return a.indexOf(t)})),s=o.length;s/i),l=!o||s;t.mayHaveMarkup=o&&a.match(/[<&>]/);var c,u="string"==typeof(c=a)&&c.match(n.latexCheck);t.latex=u;var f,h,p=u?"":w(t.calcdata.cells.prefix,e,r)||"",d=u?"":w(t.calcdata.cells.suffix,e,r)||"",g=u?null:w(t.calcdata.cells.format,e,r)||null,m=p+(g?i.format(g)(t.value):t.value)+d;if(t.wrappingNeeded=!t.wrapped&&!l&&!u&&(f=_(m)),t.cellHeightMayIncrease=s||u||t.mayHaveMarkup||(void 0===f?_(m):f),t.needsConvertToTspans=t.mayHaveMarkup||t.wrappingNeeded||t.latex,t.wrappingNeeded){var v=(" "===n.wrapSplitCharacter?m.replace(/i&&n.push(a),i+=l}return n}(i,l,s);1===u.length&&(u[0]===i.length-1?u.unshift(u[0]-1):u.push(u[0]+1)),u[0]%2&&u.reverse(),e.each((function(t,e){t.page=u[e],t.scrollY=l})),e.attr("transform",(function(t){var e=O(t.rowBlocks,t.page)-t.scrollY;return c(0,e)})),t&&(C(t,r,e,u,n.prevPages,n,0),C(t,r,e,u,n.prevPages,n,1),y(r,t))}}function E(t,e,r,a){return function(o){var s=o.calcdata?o.calcdata:o,l=e.filter((function(t){return s.key===t.key})),c=r||s.scrollbarState.dragMultiplier,u=s.scrollY;s.scrollY=void 0===a?s.scrollY+c*i.event.dy:a;var f=l.selectAll("."+n.cn.yColumn).selectAll("."+n.cn.columnBlock).filter(k);return S(t,f,l),s.scrollY===u}}function C(t,e,r,n,i,a,o){n[o]!==i[o]&&(clearTimeout(a.currentRepaint[o]),a.currentRepaint[o]=setTimeout((function(){var a=r.filter((function(t,e){return e===o&&n[e]!==i[e]}));x(t,e,a,r),i[o]=n[o]})))}function L(t,e,r,a){return function(){var o=i.select(e.parentNode);o.each((function(t){var e=t.fragments;o.selectAll("tspan.line").each((function(t,r){e[r].width=this.getComputedTextLength()}));var r,i,a=e[e.length-1].width,s=e.slice(0,-1),l=[],c=0,u=t.column.columnWidth-2*n.cellPad;for(t.value="";s.length;)c+(i=(r=s.shift()).width+a)>u&&(t.value+=l.join(n.wrapSpacer)+n.lineBreaker,l=[],c=0),l.push(r.text),c+=i;c&&(t.value+=l.join(n.wrapSpacer)),t.wrapped=!0})),o.selectAll("tspan.line").remove(),b(o.select("."+n.cn.cellText),r,t,a),i.select(e.parentNode.parentNode).call(z)}}function I(t,e,r,a,o){return function(){if(!o.settledY){var s=i.select(e.parentNode),l=F(o),u=o.key-l.firstRowIndex,f=l.rows[u].rowHeight,h=o.cellHeightMayIncrease?e.parentNode.getBoundingClientRect().height+2*n.cellPad:f,p=Math.max(h,f);p-l.rows[u].rowHeight&&(l.rows[u].rowHeight=p,t.selectAll("."+n.cn.columnCell).call(z),S(null,t.filter(k),0),y(r,a,!0)),s.attr("transform",(function(){var t=this.parentNode.getBoundingClientRect(),e=i.select(this.parentNode).select("."+n.cn.cellRect).node().getBoundingClientRect(),r=this.transform.baseVal.consolidate(),a=e.top-t.top+(r?r.matrix.f:n.cellPad);return c(P(o,i.select(this.parentNode).select("."+n.cn.cellTextHolder).node().getBoundingClientRect().width),a)})),o.settledY=!0}}}function P(t,e){switch(t.align){case"left":return n.cellPad;case"right":return t.column.columnWidth-(e||0)-n.cellPad;case"center":return(t.column.columnWidth-(e||0))/2;default:return n.cellPad}}function z(t){t.attr("transform",(function(t){var e=t.rowBlocks[0].auxiliaryBlocks.reduce((function(t,e){return t+D(e,1/0)}),0),r=D(F(t),t.key);return c(0,r+e)})).selectAll("."+n.cn.cellRect).attr("height",(function(t){return(e=F(t),r=t.key,e.rows[r-e.firstRowIndex]).rowHeight;var e,r}))}function O(t,e){for(var r=0,n=e-1;n>=0;n--)r+=R(t[n]);return r}function D(t,e){for(var r=0,n=0;n","<","|","/","\\"],dflt:">",editType:"plot"},thickness:{valType:"number",min:12,editType:"plot"},textfont:u({},s.textfont,{}),editType:"calc"},text:s.text,textinfo:l.textinfo,texttemplate:i({editType:"plot"},{keys:c.eventDataKeys.concat(["label","value"])}),hovertext:s.hovertext,hoverinfo:l.hoverinfo,hovertemplate:n({},{keys:c.eventDataKeys}),textfont:s.textfont,insidetextfont:s.insidetextfont,outsidetextfont:u({},s.outsidetextfont,{}),textposition:{valType:"enumerated",values:["top left","top center","top right","middle left","middle center","middle right","bottom left","bottom center","bottom right"],dflt:"top 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The default backend for plotting phase diagrams is plotly, however, you can also specify matplotlib:

plotter = PDPlotter(pd, backend="matplotlib")
plotter.get_plot(label_unstable=False).show()

From the phase diagram, we see that there are three ternary oxides within the system: YMnO\(_3\), YMn\(_2\)O\(_5\), and Y\(_2\)Mn\(_2\)O\(_7\).

Let's look at formation energy data in a pandas DataFrame. As before, let's first create a helper function to wrangle the data into the correct format:

def get_df_from_pd(pd):
    ents = pd.stable_entries

    formulas = [e.composition.reduced_formula for e in ents]
    form_energies = [pd.get_form_energy_per_atom(e) for e in ents]
    decomp_enthalpies = [pd.get_phase_separation_energy(e) for e in ents]

    data = {"formula": formulas, "form_energy (eV/atom)": form_energies, "decomp_enthalpy (eV/atom)": decomp_enthalpies}

    df = pandas.DataFrame(data).sort_values("form_energy (eV/atom)").reset_index(drop=True)

    return df

We then call this function to get the data frame:

get_df_from_pd(pd)
="cell border-box-sizing code_cell rendered" markdown="1"> formula"> form_energy (eV/atom)div class="cell border-box-sizing text_cell rendered" markdown="1"> decomp_enthalpy (eV/atom)lass="cell border-box-sizing text_cell rendered" markdown="1"> iv> div>
0"cell border-box-sizing text_cell rendered" markdown="1"> Y2O3ner_cell" markdown="1"> -3.970920ll_render border-box-sizing rendered_html" markdown="1"> -0.856833the grand potential phase diagram and plot it: v>
1 class="cell border-box-sizing code_cell rendered" markdown="1"> YMnO3l border-box-sizing code_cell rendered" markdown="1"> -3.036007
gpd = GrandPotentialPhaseDiagram(gibbs_entries, {open_elem: chempot})
gpd.get_plot()
-0.029013v> hzdk:36
2v class="output_wrapper" markdown="1"> Y2Mn2O7ut_wrapper" markdown="1"> -2.877818wrapper" markdown="1"> -0.056013 markdown="1"> v class="output_area" markdown="1">
3="output_html rendered_html output_subarea "> YMn2O5ut_html rendered_html output_subarea "> -2.639070
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4 display = window.getComputedStyle(gd).display; if (!display || display === 'none') {{ console.log([gd, 'removed!']); Plotly.purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); Mn3O4splay || display === 'none') {{ console.log([gd, 'removed!']); Plotly.purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -2.050443.log([gd, 'removed!']); Plotly.purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -0.046443purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; });
5sten for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); Mn2O3the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -2.013920emoval of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -0.024500er = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; });
6en for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); MnOr the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -1.979201learing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -0.185063losest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; });
7 }) }; }); MnO2 }) }; }); -1.805830 }) }; }); -0.066579iv> iv>
8iv> YMn12 -0.001407 class="cell border-box-sizing text_cell rendered" markdown="1"> -0.001407"cell border-box-sizing text_cell rendered" markdown="1"> v>
9"inner_cell" markdown="1"> Y"text_cell_render border-box-sizing rendered_html" markdown="1"> 0.000000ential phase diagram above, we see that only YMn$_2$O$_5$ and Y$_2$Mn$_2$O$_7$ are stable at a relative oxygen chemical potential of 0 eV at T = 1000 K. This corresponds to flowing (open) oxygen gas at the standard state of pressure of 0.1 MPa (close to 1 atm). Note that the phase diagram above corresponds to a binary system, since we have removed a degree of freedom by fixing the oxygen chemical potential to a specific value. 0.000000se diagram above corresponds to a binary system, since we have removed a degree of freedom by fixing the oxygen chemical potential to a specific value. that the phase diagram above corresponds to a binary system, since we have removed a degree of freedom by fixing the oxygen chemical potential to a specific value.
10> O2class="cell border-box-sizing text_cell rendered" markdown="1"> 0.000000order-box-sizing text_cell rendered" markdown="1"> 0.000000cell" markdown="1"> class="text_cell_render border-box-sizing rendered_html" markdown="1">
11he partial pressure of oxygen (at T = 1000 K) where YMnO$_3$ becomes stable. **Hint:** *Determine the chemical potential of oxygen from manual phase diagram construction and use the following formula to solve for the pressure:* $$ \mu - \mu^0 = k_b T \ln{\frac{p}{p_0}} $$ Mne partial pressure of oxygen (at T = 1000 K) where YMnO$_3$ becomes stable. **Hint:** *Determine the chemical potential of oxygen from manual phase diagram construction and use the following formula to solve for the pressure:* $$ \mu - \mu^0 = k_b T \ln{\frac{p}{p_0}} $$ 0.000000ine the chemical potential of oxygen from manual phase diagram construction and use the following formula to solve for the pressure:* $$ \mu - \mu^0 = k_b T \ln{\frac{p}{p_0}} $$ 0.000000ne the chemical potential of oxygen from manual phase diagram construction and use the following formula to solve for the pressure:* $$ \mu - \mu^0 = k_b T \ln{\frac{p}{p_0}} $$ \mu - \mu^0 = k_b T \ln{\frac{p}{p_0}} $$ \mu - \mu^0 = k_b T \ln{\frac{p}{p_0}} $$

While YMnO\(_3\) has one of the lowest formation energies within the Y-Mn-O system, it's decomposition enthalpy (i.e., energy "below" hull) is not very negative compared to the other phases in the system. This suggests that it has a low relative stability compared to the neighboring phases.

This is largely due to the fact that Y\(_2\)O\(_3\) is a massive thermodynamic sink -- it has both the most negative formation energy and the most negative decomposition enthalpy. This can be confirmed by looking at the green color-shading on the ternary phase diagram.

2.3 Compound phase diagrams for plotting subsets of the convex hull

The previous analysis partially explains why synthesis routes to YMnO\(_3\) from the starting binary oxides (i.e. Y\(_2\)O\(_3\) and Mn\(_2\)O\(_3\)) require such high temperatures to proceed. We can take a slice of the hull with the CompoundPhaseDiagram to visualize this more clearly. First, let's import the module:

from pymatgen.analysis.phase_diagram import CompoundPhaseDiagram

Before we can make the compound phase diagram, we have to specify the terminal compositions as Composition objects within pymatgen:

from pymatgen.core.composition import Composition
terminal_comps = [Composition("Y2O3"), Composition("Mn2O3")]

Now we can initialize the compound phase diagram object and plot it:

cpd = CompoundPhaseDiagram(entries, terminal_comps)
PDPlotter(cpd).get_plot()

An important note: the reaction energy associated with the ComputedReaction object is eV per mole of reaction (i.e. per mole of YMnO\(_3\)):

rxn_energy = rxn.calculated_reaction_energy
print(rxn_energy)
-0.21793684385414736

However, if we calculate the number of atoms in the reaction we can normalize this to a reaction energy per atom basis:

num_atoms = sum([rxn.get_el_amount(elem) for elem in rxn.elements])
rxn_energy_per_atom = rxn_energy / num_atoms

print(round(rxn_energy_per_atom, 3))
-0.044
At the interfaces where the powder crystallites touch, if the free energy of the system can be decreased by forming a new phase or set of phases, the new phase(s) will nucleate and grow.

We can predict the possible reactions between the interface of any two phases by drawing a line (see the red dashed line below) connecting the two phases on the phase diagram. A reaction is given by each point where the connecting line intersects the phase diagram points/lines. 

In the hypothetical system below, there are two predicted reactions given by the yellow star and green circle -- in this case **the reaction to form $\gamma$ (green circle) is the most thermodynamically favorable** because it involves the greatest decrease in free energy. However, the reaction given by the yellow star is still favorable and may occur at higher temperatures / later times.

And now we see that the -0.044 eV/atom reaction energy matches with the result from the CompoundPhaseDiagram interface.

Note that the CompoundPhaseDiagram is also useful for plotting subsections of the convex hull:

comps = [Composition(c) for c in ["Y2O3", "Mn2O3", "Y2Mn2O7"]]

example_cpd = CompoundPhaseDiagram(entries, comps)
PDPlotter(example_cpd).get_plot()
(no ID)
0.143 eV/atom (+0.143 eV/atom)", "MnO2idget-view+json"> (no ID)
0.162 eV/atom (+0.162 eV/atom)", "MnO2b", "version_major": 2, "version_minor": 0} (no ID)
0.053 eV/atom (+0.053 eV/atom)", "Mn2
O3> (no ID)
0.153 eV/atom (+0.153 eV/atom)", "Mn2rendered" markdown="1">O3kdown="1"> (no ID)
0.154 eV/atom (+0.154 eV/atom)", "Mn2ext_cell_render border-box-sizing rendered_html" markdown="1">O3er border-box-sizing rendered_html" markdown="1"> (no ID)
0.17 eV/atom (+0.17 eV/atom)", "Mn5 let's look at these in a DataFrame by using a helper method:
O8t these in a DataFrame by using a helper method:
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O3iv> (no ID)
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-0.051 eV/atom (+0.137 eV/atom)", "YMnO3ass="output_html rendered_html output_subarea output_execute_result"> (no ID)
-0.013 eV/atom (+0.174 eV/atom)", "YMnO3lt"> (no ID)
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From the grand potential phase diagram above, we see that only YMn\(_2\)O\(_5\) and Y\(_2\)Mn\(_2\)O\(_7\) are stable at a relative oxygen chemical potential of 0 eV at T = 1000 K. This corresponds to flowing (open) oxygen gas at the standard state of pressure of 0.1 MPa (close to 1 atm).

Note that the phase diagram above corresponds to a binary system, since we have removed a degree of freedom by fixing the oxygen chemical potential to a specific value.

2.5.2 EXERCISE: Determine oxygen stability window of YMnO\(_3\)

Determine the partial pressure of oxygen (at T = 1000 K) where YMnO\(_3\) becomes stable.

Hint: Determine the chemical potential of oxygen from manual phase diagram construction and use the following formula to solve for the pressure:

\[ \mu - \mu^0 = k_b T \ln{\frac{p}{p_0}} \]
from math import exp
k = 8.617e-5  # eV/K
T = 1000  # K

mu_O = -0.343  # found manually from phase diagram construction
mu_O2 = mu_O * 2  
pressure = 0.1*exp(mu_O2/(k*T))  # MPa
print(f"{round(pressure, 7)} MPa")
3.49e-05 MPa
def get_df_from_rxns(rxns):
    energies = [r.energy_per_atom for r in rxns]
    uncertainties = [r.energy_uncertainty_per_atom.s for r in rxns]
    chemsyses = [r.chemical_system for r in rxns]

    data = {"reaction": rxns, "energy": energies, "dE": uncertainties, "chemsys": chemsyses}

    return pandas.DataFrame(data).sort_values("energy").reset_index(drop=True)

This is quite a low O\(_2\) partial pressure. However, note that this value is extremely sensitive to small differences in calculated formation energies for the compounds.

Temperature is often an even more powerful driver for oxidizing/reducing conditions than pressure. In fact, at higher temperatures (T = 1400 K), YMnO\(_3\) is predicted to be stable even at the standard state (0.1 MPa) pressure.

2.5.3 Finding "critical" chemical potentials within pymatgen

As was hinted at above, all phases on the compositional phase diagram are stable within a certain region of chemical potentials. These do not need to be found manually as in the above exercise; instead, there are methods to solve for them algorithmically. In pymatgen, this can be found in the get_chempot_range_stability_phase() method. For YMnO\(_3\), we get:

pd_gibbs = PhaseDiagram(gibbs_entries)
pd_gibbs.get_chempot_range_stability_phase(Composition("YMnO3"), open_elt=Element("O"))
{Element Y: (-5.684675115489506, -8.05964229338205),
 Element Mn: (-1.117928945435541, -3.492896123328084),
 Element O: (-1.9261348812004861, -0.342823429272124)}>

Note that the upper bound value of chemical potential for oxygen matches what we found in the previous exercise (-0.343 eV).

2.6 Plotting predominance diagrams

The chemical potential ranges over which a phase is stable can be plotted in a new diagram, typically called a predominance diagram.

A predominance diagram can be created in pymatgen by calling get_chempot_range_map_plot() on a ternary phase diagram. Because one chemical potential is always dependent, we only need 2 dimensions to represent the chemical potential stability regions. Note: these form polygons, which are not necessarily rectangular.

Note: the -0.343 eV value where YMnO\(_3\) becomes stable is actually the tip of the narrow YMnO\(_3\) polygon!

plotter = PDPlotter(pd_gibbs)
plot = plotter.get_chempot_range_map_plot(elements=[Element("Y"), Element("O")])

plot.xlim(-9.7, -3) # changing plotting boundaries
plot.ylim(-4,0)

plot.show()

2.7 BONUS: Plotting chemical potential diagrams (adding one more dimension!)

It is often even more convenient to visualize all three dimensions within chemical potential space. For this, we can plot a chemical potential diagram. For now, this code only exists in the (separate) reaction-network package, but will be added soon to pymatgen.

from rxn_network.thermo.chempot_diagram import ChempotDiagram

To create the diagram, we first need to define some limits on the chemical potential ranges to plot:

limits={Element("Y"): (-10, 0),
        Element("Mn"): (-10, 0),
        Element("O"): (-7, 0)}

And then we can plot it similar to plotting a conventional phase diagram in pymatgen. Try interacting with the full 3D figure yourself!

cd = ChempotDiagram(pd_gibbs, limits=limits)
cd.get_plot()
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4.2 Brute force (simple) approach

Enumerating reactions by brute force may seem like a less advanced approach, but it offers the added benefit that we can identify reactions involving:

1) metastable products 2) products which are not stable with respect to each other

This approach has been implemented with the BasicEnumerator class in the reaction-network package. Let's import the class:

From the chemical potential diagram, we can easily see the relative stabilities of each phase and get a visual picture of where the critical chemical potentials are for each phase.

3. Predicting interface reactions between solids

3.1 A simple model of solid-state synthesis

In solid-state synthesis, precursor compounds are typically milled into powders of small solid crystallites. These powders are intimately mixed, typically pressed into a pellet, and then heated in a furnace. Historically, solid-state synthesis involves high temperatures (i.e. 1200 ºC) and long heating times (24-72 hrs). However, many reactions can proceed significantly faster (on the order of a few minutes) and at temperatures as low as 400-500ºC.

A simple cartoon of solid-state synthesis can be seen below:

At the interfaces where the powder crystallites touch, if the free energy of the system can be decreased by forming a new phase or set of phases, the new phase(s) will nucleate and grow.

We can predict the possible reactions between the interface of any two phases by drawing a line (see the red dashed line below) connecting the two phases on the phase diagram. A reaction is given by each point where the connecting line intersects the phase diagram points/lines.

In the hypothetical system below, there are two predicted reactions given by the yellow star and green circle -- in this case the reaction to form \(\gamma\) (green circle) is the most thermodynamically favorable because it involves the greatest decrease in free energy. However, the reaction given by the yellow star is still favorable and may occur at higher temperatures / later times.

3.2 Using pymatgen's interface reaction calculator

The phase diagram slice approach depicted above has been implemented into pymatgen within the InterfacialReactivity class and is available as an app on the MP website.

Let's see if we can apply it within the Y-Mn-O chemical system to better understand the synthesis of our YMnO\(_3\) target. We will start with plotting the suggested reactions between Y\(_2\)O\(_3\) and Mn\(_2\)O\(_3\):

from pymatgen.analysis.interface_reactions import InterfacialReactivity

ir = InterfacialReactivity(Composition("Y2O3"), Composition("Mn2O3"), pd_gibbs)
ir.plot().show()

In the plot, we see a new convex hull slice, where each point represents a reaction as a function of the (normalized) ratio of mixing between the two reactants. To see which reactions the plot above corresponds to, we need to extract data about the "kinks" within the diagram. Let's use the code below to help us plot information about the reactions shown in the plot above:

pandas.set_option("max_colwidth", 80)  # make columns wider to see full reaction

def get_df_from_interface_rxns(ir):
    critical_rxns = [
        {"Atomic fraction":round(ratio, 3),
         "Reaction": rxn,
            "E$_{rxn}$ (kJ/mol)": round(rxn_energy, 1),
            "E$_{rxn}$ (eV/atom)":round(reactivity, 3)
        }
        for _, ratio, reactivity, rxn, rxn_energy in ir.get_kinks()
    ]

    ir_df = pandas.DataFrame(critical_rxns)
    return ir_df

Now we can construct and display the dataframe:

ir_df = get_df_from_interface_rxns(ir)
ir_df
Atomic fraction Reaction E$_{rxn}$ (kJ/mol)t; Y2O3 + 1.5 Mn E$_{rxn}$ (eV/atom)
0 0.000 Y + 1.5 MnO2 -> Y2O3 + 0.125 YMn12 Mn2O3 -> Mn2O3 0.054636 0.000Y
1 0.1674 O2 + 0.09091 YMn12 -> MnO + 0.09091 YMnO3 0.8333 Mn2O3 + 0.1667 Y2O3 -> 0.3333 YMn2O5 + 0.3333 Mn3O4
-19.2747 -0.040
2 0.5000.1481 YMn12 -> 1.778 MnO + 0.07407 Y2O3 0.5 Mn2O3 + 0.5 Y2O3 -> YMnO38 -34.4648 -0.071
3.. 1.000td> Y2O3 -> Y2O3 0.0 0.000td>

In the table, we see the reactions as a function of the normalized mixing ratio, along with their energy in kJ per mole of reaction, as well as eV per (reactant) atom.

It seems that YMnO\(_3\) is indeed the major predicted reaction product when Y\(_2\)O\(_3\) and and Mn\(_2\)O\(_3\) are combined in equal molar amounts. However, the reaction forming YMn\(_2\)O\(_5\) and Mn\(_3\)O\(_4\) could still occur to some degree depending on the process by which the synthesis procedure occurs (i.e., initial grain sizes, heating rate, maximum temperature reached, etc.) This is because there is still a thermodynamic driving force for subsequent interfacial reaction between YMnO\(_3\) and any remaining precursor Mn\(_2\)O\(_3\). This can be seen by plotting the same interface reaction plot between YMnO\(_3\) and Mn\(_2\)O\(_3\):

ir = InterfacialReactivity(Composition("YMnO3"), Composition("Mn2O3"), pd_gibbs)
ir.plot().show()
get_df_from_interface_rxns(ir)
="output_wrapper" markdown="1"> Atomic fractionown="1"> Reactiont_area" markdown="1"> E$_{rxn}$ (kJ/mol)kdown="1"> E$_{rxn}$ (eV/atom)ered_html output_subarea "> class="output_html rendered_html output_subarea "> iv>
0 MutationObserver(function (mutations, observer) {{ var display = window.getComputedStyle(gd).display; if (!display || display === 'none') {{ console.log([gd, 'removed!']); Plotly.purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); 0.000play = window.getComputedStyle(gd).display; if (!display || display === 'none') {{ console.log([gd, 'removed!']); Plotly.purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); Mn2O3 -> Mn2O3play === 'none') {{ console.log([gd, 'removed!']); Plotly.purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); 0.0onsole.log([gd, 'removed!']); Plotly.purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); 0.000tly.purge(gd); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); observer.disconnect(); }} }}); // Listen for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; });
1sten for the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); 0.333the removal of the full notebook cells var notebookContainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); 0.6667 Mn2O3 + 0.3333 YMnO3 -> 0.3333 YMn2O5 + 0.3333 Mn3O4er = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -7.7ntainer = gd.closest('#notebook-container'); if (notebookContainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -0.016ainer) {{ x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); x.observe(notebookContainer, {childList: true}); }} // Listen for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; });
2for the clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); 1.000he clearing of the current output cell var outputEl = gd.closest('.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); YMnO3 -> YMnO3.output'); if (outputEl) {{ x.observe(outputEl, {childList: true}); }} }) }; }); -0.0{{ x.observe(outputEl, {childList: true}); }} }) }; }); -0.000tputEl, {childList: true}); }} }) }; }); }) }; }); }) }; });

It turns out that this is true again for any Mn\(_3\)O\(_4\) produced, which may react with remaining Y\(_2\)O\(_3\) precursor to make YMnO\(_3\) and MnO. The same goes again for MnO and Mn\(_2\)O\(_3\).

Just in this simple ternary system, we can already see the complex (and sometimes unpredictable) behavior associated with reaction pathways within solid-state synthesiss. To organize this progression of reactions, we choose to create a graph network representation of the possible reaction pathway, such as the one illustrated below:

Before we can explore this reaction network structure further, however, we need to first discuss how to acquire all possible reactions which may occur within a chemical system.

4. Enumerating all reactions within a chemical system

As we saw above, the possibility of subsequent reactions makes a model for solid-state synthesis quite complex. If we wish to capture this behavior, we first need to be able to enumerate through all possible reactions within a chemical system. These reactions will then be used to construct the reaction network.

There are two methods for predicting reactions in a high-throughput manner:

1) interface reactions predicted by iterating through all possible slices of the full phase diagram (as above) 2) brute force trial & error balancing between any set of reactants and any set of products

Both of these methods are implemented in the reaction-network package, which builds reaction network analysis on top of pymatgen. Please see the Github repository below if you are interested in exploring more:

https://github.com/GENESIS-EFRC/reaction-network

4.1 Minimize Gibbs (interface reaction) approach

First, we need to come up with a candidate set of entries. Since we are using the reaction-network package, we are going to initialize the entries using that package's convenience methods:

from rxn_network.entries.entry_set import GibbsEntrySet

gibbs_entry_set = GibbsEntrySet.from_entries(entries, temperature=1000)
stable_entries = gibbs_entry_set.filter_by_stability(e_above_hull=0)

Now, we can initialize the enumerator object:

from rxn_network.enumerators.minimize import MinimizeGibbsEnumerator

mge = MinimizeGibbsEnumerator()

To enumerate reactions, we call enumerate() with a list of provided entries. This will return a list of reactions which are computed using the interface reaction method from above:

rxns = mge.enumerate(stable_entries)

As before, let's look at these in a DataFrame by using a helper method:

def get_df_from_rxns(rxns):
    energies = [r.energy_per_atom for r in rxns]
    uncertainties = [r.energy_uncertainty_per_atom.s for r in rxns]
    chemsyses = [r.chemical_system for r in rxns]

    data = {"reaction": rxns, "energy": energies, "dE": uncertainties, "chemsys": chemsyses}

    return pandas.DataFrame(data).sort_values("energy").reset_index(drop=True)
df = get_df_from_rxns(rxns)
df
reaction> energy> dE9231 Y2O3 + 0.07692 YMn12 -> Y + 0.9231 YMnO3 chemsys7
08 2 Y + 1.5 O2 -> Y2O3O3 -3.429551/td> 0.061644 O-YO-Y
1> MnO2 + 1.333 Y -> Mn + 0.6667 Y2O3> -1.760296v> 0.055203div> Mn-O-Y v>
2v> 12 MnO2 + 17 Y -> YMn12 + 8 Y2O3zing text_cell rendered" markdown="1"> -1.728019"cell border-box-sizing text_cell rendered" markdown="1"> 0.054636"cell border-box-sizing text_cell rendered" markdown="1"> Mn-O-Y border-box-sizing text_cell rendered" markdown="1"> class="inner_cell" markdown="1">
3possible to specify precursors: YMn12 + 7 O2 -> YMnO3 + 11 MnOr-box-sizing code_cell rendered" markdown="1"> -1.704301class="cell border-box-sizing code_cell rendered" markdown="1"> 0.054747"cell border-box-sizing code_cell rendered" markdown="1"> Mn-O-Y border-box-sizing code_cell rendered" markdown="1"> class="input">
4 0.08333 YMn12 + 0.5625 O2 -> MnO + 0.04167 Y2O3 rendered" markdown="1"> -1.700115 class="cell border-box-sizing code_cell rendered" markdown="1"> 0.057648="cell border-box-sizing code_cell rendered" markdown="1"> Mn-O-Ys="cell border-box-sizing code_cell rendered" markdown="1"> class="cell border-box-sizing code_cell rendered" markdown="1">
... ... ... class="output_wrapper" markdown="1"> ...class="output_wrapper" markdown="1"> ...output_wrapper" markdown="1"> class="output_wrapper" markdown="1">
56"output_area" markdown="1"> MnO + 0.5 Y2Mn2O7 -> YMnO3 + 0.5 Mn2O3="f9658c3e-e57c-40e3-8894-af0f11c83cc7"> -0.058041c3e-e57c-40e3-8894-af0f11c83cc7"> 0.053955c3e-e57c-40e3-8894-af0f11c83cc7"> Mn-O-Y8c3e-e57c-40e3-8894-af0f11c83cc7"> iv id="f9658c3e-e57c-40e3-8894-af0f11c83cc7">
5758c3e-e57c-40e3-8894-af0f11c83cc7"> 0.5 Mn2O3 + 0.25 O2 -> MnO2_view "> -0.051035javascript"> 0.065617f9658c3e-e57c-40e3-8894-af0f11c83cc7'); Mn-Oipt type="application/vnd.jupyter.widget-view+json"> ipt type="application/vnd.jupyter.widget-view+json">
58div> 0.5 O2 + 2 YMnO3 -> Y2Mn2O7 markdown="1"> -0.031166="output_area" markdown="1"> 0.067726="output_area" markdown="1"> Mn-O-Yput_area" markdown="1"> class="output_area" markdown="1">
59output_html rendered_html output_subarea output_execute_result"> 12 Mn + Y -> YMn12rame tbody tr th:only-of-type { vertical-align: middle; } .dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } -0.003815.dataframe tbody tr th:only-of-type { vertical-align: middle; } .dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } 0.068154dy tr th:only-of-type { vertical-align: middle; } .dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } Mn-Yal-align: middle; } .dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } } .dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; }
60me tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } 2 MnO2 + 2 YMnO3 -> Mn2O3 + Y2Mn2O7me thead th { text-align: right; } -0.002288me thead th { text-align: right; } 0.052478ead th { text-align: right; } Mn-O-Yhead th { text-align: right; } text-align: right; }

61 rows × 4 columns

We can plot a histogram of the reaction energies to get an idea of the thermodynamics of the system. Again, we see that Y\(_2\)O\(_3\) is quite stable (the reaction on the far left!). Most reactions, however, are in the -0.4 to 0.0 eV/atom range.

import plotly.express as px

px.histogram(data_frame=df, x="energy", nbins=20, template="seaborn")

Building a dataframe with the reactions:

df = get_df_from_rxns(rxns_basic)
df
body>
="text_cell_render border-box-sizing rendered_html" markdown="1"> reactionmerating open reactions Since solid-state synthesis often happens in the presence of some kind of gaseous or "open" environment, it is also possible to enumerate so-called open reactions where a particular entry is open. For this, we can use `BasicOpenEnumerator`, or `MinimizeGrandPotentialEnumerator`: energyte synthesis often happens in the presence of some kind of gaseous or "open" environment, it is also possible to enumerate so-called open reactions where a particular entry is open. For this, we can use `BasicOpenEnumerator`, or `MinimizeGrandPotentialEnumerator`: dEstate synthesis often happens in the presence of some kind of gaseous or "open" environment, it is also possible to enumerate so-called open reactions where a particular entry is open. For this, we can use `BasicOpenEnumerator`, or `MinimizeGrandPotentialEnumerator`: chemsysiv> v> div>
07 Y + 0.75 O2 -> 0.5 Y2O3ass="cell border-box-sizing code_cell rendered" markdown="1"> -3.429551v class="cell border-box-sizing code_cell rendered" markdown="1"> 0.061644v class="cell border-box-sizing code_cell rendered" markdown="1"> O-Yclass="cell border-box-sizing code_cell rendered" markdown="1"> v>
1"input"> 2 Y + 1.5 MnO2 -> Y2O3 + 1.5 Mnapper" markdown="1"> -1.760296> 0.055203s="output_wrapper" markdown="1"> Mn-O-Yss="output_wrapper" markdown="1"> v class="output_wrapper" markdown="1">
2"output" markdown="1"> 2.125 Y + 1.5 MnO2 -> Y2O3 + 0.125 YMn12"d6708f0e-b6b1-480a-a314-3609287c3f1a"> -1.728019area" markdown="1"> 0.0546368f0e-b6b1-480a-a314-3609287c3f1a"> Mn-O-Y08f0e-b6b1-480a-a314-3609287c3f1a"> div id="d6708f0e-b6b1-480a-a314-3609287c3f1a">
36708f0e-b6b1-480a-a314-3609287c3f1a"> 0.6364 O2 + 0.09091 YMn12 -> MnO + 0.09091 YMnO3ass="output_subarea output_widget_view "> -1.704301subarea output_widget_view "> 0.054747/javascript"> Mn-O-Y'#d6708f0e-b6b1-480a-a314-3609287c3f1a'); ript>
4: "7d88ed8706cf4ef8bd0b4c42981f2e33", "version_major": 2, "version_minor": 0} O2 + 0.1481 YMn12 -> 1.778 MnO + 0.07407 Y2O3="cell border-box-sizing code_cell rendered" markdown="1"> -1.700115iv> 0.057648div> Mn-O-Y/div> iv>
...> ...class="cell border-box-sizing code_cell rendered" markdown="1"> ...lass="cell border-box-sizing code_cell rendered" markdown="1"> ...ell border-box-sizing code_cell rendered" markdown="1"> ...nput"> xhzdk:69
573 class="output_wrapper" markdown="1"> 1.778 MnO + 0.07407 Y2O3 -> O2 + 0.1481 YMn12ss="output" markdown="1"> 1.700115t_wrapper" markdown="1"> 0.057648_wrapper" markdown="1"> Mn-O-Yut" markdown="1"> v class="output_area" markdown="1">
574output_html rendered_html output_subarea output_execute_result"> MnO + 0.09091 YMnO3 -> 0.6364 O2 + 0.09091 YMn12xecute_result"> 1.704301d> 0.054747 .dataframe tbody tr th:only-of-type { vertical-align: middle; } .dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } Mn-O-Ybody tr th:only-of-type { vertical-align: middle; } .dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } vertical-align: middle; } .dataframe tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; }
575me tbody tr th { vertical-align: top; } .dataframe thead th { text-align: right; } Y2O3 + 0.125 YMn12 -> 2.125 Y + 1.5 MnO2top; } .dataframe thead th { text-align: right; } 1.728019lign: top; } .dataframe thead th { text-align: right; } 0.054636ame thead th { text-align: right; } Mn-O-Ythead th { text-align: right; } .dataframe thead th { text-align: right; }
576> Y2O3 + 1.5 Mn -> 2 Y + 1.5 MnO2> 1.760296class="dataframe"> 0.055203style="text-align: right;"> Mn-O-Yext-align: right;">
577rgy 0.5 Y2O3 -> Y + 0.75 O2/th> 3.429551/th> 0.061644d> O-Y

578 rows × 4 columns

And plotting the reaction energy distribution:

px.histogram(data_frame=df, x="energy", template="seaborn")

And we see that all enumerated reactions do indeed contain YMnO\(_3\) as a product:

get_df_from_rxns(rxns_ymno3)
reaction energy75 O2 -> 0.5 Y2O3 dE.573877 chemsys0
0 + 0.02703 MnO + 0.7568 O2 -> 0.4865 Y2O3 + 0.02703 YMnO3 0.6364 O2 + 0.09091 YMn12 -> MnO + 0.09091 YMnO3-Y -1.704301/td> 0.054747> Mn-O-Yr>
1 + 0.03846 Mn2O3 + 0.7692 O2 -> 0.03846 Y2Mn2O7 + 0.4615 Y2O3 2.409 O2 + 0.2727 YMn12 -> Mn3O4 + 0.2727 YMnO3n-Y -1.626024/td> 0.055648> Mn-O-Yr>
2 + O2 + 0.01961 YMn12 -> 0.1176 Y2Mn2O7 + 0.3922 Y2O3 1.773 O2 + 0.1818 YMn12 -> Mn2O3 + 0.1818 YMnO3n-Y -1.621231/td> 0.056117> Mn-O-Yr>
3 + O2 + 0.25 Mn -> 0.125 Y2Mn2O7 + 0.375 Y2O3 4.682 O2 + 0.4545 YMn12 -> Mn5O8 + 0.4545 YMnO3n-Y -1.556305/td> 0.056397> Mn-O-Yr>
4.. O2 + 0.08 YMn12 -> 0.88 MnO2 + 0.08 YMnO3d> -1.430899 0.057475
Mn-O-Yr>
...25 Y2Mn2O7 + 0.375 Y2O3 -> Y + O2 + 0.25 Mn ...94811 ...29422 ...Y ...
741176 Y2Mn2O7 + 0.3922 Y2O3 -> Y + O2 + 0.01961 YMn12 1.444 MnO + 0.5185 Y2O3 -> YMnO3 + 0.03704 YMn12Y 0.128718 0.057905> Mn-O-Yr>
7503846 Y2Mn2O7 + 0.4615 Y2O3 -> Y + 0.03846 Mn2O3 + 0.7692 O2 Y2O3 + 13 Mn -> YMnO3 + YMn12 0.250953 0.054716> Mn-O-Yr>
764865 Y2O3 + 0.02703 YMnO3 -> Y + 0.02703 MnO + 0.7568 O2 3 MnO + 2 Y2O3 -> Y + 3 YMnO3 0.355292 0.059457> Mn-O-Yr>
775 Y2O3 -> Y + 0.75 O2 0.9231 Y2O3 + 0.07692 YMn12 -> Y + 0.9231 YMnO3/td> 0.751377 0.059467
Mn-O-Yody> tbody>
78 × 4 columns

Y2O3 + Mn -> Y + YMnO3> 0.761124div> 0.060093div> Mn-O-Y/div> iv>

79 rows × 4 columns

It is also possible to specify precursors:

be_precursors = BasicEnumerator(precursors=["Y2O3","Mn2O3"])
rxns_precursors = be_precursors.enumerate(entries_030)
get_df_from_rxns(rxns_ymno3)
energy reaction energys dE
chemsysdy> body>
08.573877 0.6364 O2 + 0.09091 YMn12 -> MnO + 0.09091 YMnO3 -1.704301
0.054747 Mn-O-Yth>
16.376210 2.409 O2 + 0.2727 YMn12 -> Mn3O4 + 0.2727 YMnO3r> -1.626024
0.055648 Mn-O-Yth>
26.374144 1.773 O2 + 0.1818 YMn12 -> Mn2O3 + 0.1818 YMnO3r> -1.621231
0.056117 Mn-O-Yth>
34.854178 4.682 O2 + 0.4545 YMn12 -> Mn5O8 + 0.4545 YMnO3r> -1.556305
0.056397 Mn-O-Yth>
44.679241 O2 + 0.08 YMn12 -> 0.88 MnO2 + 0.08 YMnO3
-1.430899
0.057475 Mn-O-Yth>
...568917 ...61284 ...Y ...
...
74.550820 1.444 MnO + 0.5185 Y2O3 -> YMnO3 + 0.03704 YMn12> 0.128718> 0.057905 Mn-O-Yth>
75.474267 Y2O3 + 13 Mn -> YMnO3 + YMn12> 0.250953> 0.054716 Mn-O-Yth>
76.195813 3 MnO + 2 Y2O3 -> Y + 3 YMnO3> 0.355292> 0.059457 Mn-O-Yth>
77.803885 0.9231 Y2O3 + 0.07692 YMn12 -> Y + 0.9231 YMnO3 0.751377
0.059467 Mn-O-Yth>
78.444450 Y2O3 + Mn -> Y + YMnO3n-Y 0.761124> 0.060093 Mn-O-Yth>

79 rows × 4 columns

And it is even possible to specify both precursors and a target. In this case, we should only get one possible reaction:

be = BasicEnumerator(precursors=["Y2O3","Mn2O3"], target="YMnO3")
rxns_ymno3 = be.enumerate(entries_030)
get_df_from_rxns(rxns_ymno3)
iv> reactionv class="cell border-box-sizing text_cell rendered" markdown="1"> energyss="cell border-box-sizing text_cell rendered" markdown="1"> dEclass="cell border-box-sizing text_cell rendered" markdown="1"> chemsysborder-box-sizing text_cell rendered" markdown="1"> class="inner_cell" markdown="1"> iv class="text_cell_render border-box-sizing rendered_html" markdown="1">
0 have a way to enumerate all reactions within a chemical system, we'd like to be able to put them in a convenient data structure such that we can learn something about a system. One particular data structure that is helpful for predicting reaction pathways is a **weighted directed graph**. The weighted directed graph, or reaction network, connects all phases within the chemical system via the possible reactions between them. This corresponds to a structure like the following: - **Nodes**: Phase combinations - **Edges**: Reactions - **Edge weights/costs**: Reaction free energies (after monotonic transformation) The function that monotonically transforms reaction free energies to (positive) costs/weights is dubbed a cost function. For more information about this approach, please see the following publication: **Reference:** *McDermott, M. J., Dwaraknath, S. S., and Persson, K. A. (2021). A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-23339-x* Mn2O3 + Y2O3 -> 2 YMnO3ction network, connects all phases within the chemical system via the possible reactions between them. This corresponds to a structure like the following: - **Nodes**: Phase combinations - **Edges**: Reactions - **Edge weights/costs**: Reaction free energies (after monotonic transformation) The function that monotonically transforms reaction free energies to (positive) costs/weights is dubbed a cost function. For more information about this approach, please see the following publication: **Reference:** *McDermott, M. J., Dwaraknath, S. S., and Persson, K. A. (2021). A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-23339-x* -0.07127ted graph, or reaction network, connects all phases within the chemical system via the possible reactions between them. This corresponds to a structure like the following: - **Nodes**: Phase combinations - **Edges**: Reactions - **Edge weights/costs**: Reaction free energies (after monotonic transformation) The function that monotonically transforms reaction free energies to (positive) costs/weights is dubbed a cost function. For more information about this approach, please see the following publication: **Reference:** *McDermott, M. J., Dwaraknath, S. S., and Persson, K. A. (2021). A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-23339-x* 0.061237 combinations - **Edges**: Reactions - **Edge weights/costs**: Reaction free energies (after monotonic transformation) The function that monotonically transforms reaction free energies to (positive) costs/weights is dubbed a cost function. For more information about this approach, please see the following publication: **Reference:** *McDermott, M. J., Dwaraknath, S. S., and Persson, K. A. (2021). A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-23339-x* Mn-O-Yctions - **Edge weights/costs**: Reaction free energies (after monotonic transformation) The function that monotonically transforms reaction free energies to (positive) costs/weights is dubbed a cost function. For more information about this approach, please see the following publication: **Reference:** *McDermott, M. J., Dwaraknath, S. S., and Persson, K. A. (2021). A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-23339-x* Edge weights/costs**: Reaction free energies (after monotonic transformation) The function that monotonically transforms reaction free energies to (positive) costs/weights is dubbed a cost function. For more information about this approach, please see the following publication: **Reference:** *McDermott, M. J., Dwaraknath, S. S., and Persson, K. A. (2021). A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-23339-x* he function that monotonically transforms reaction free energies to (positive) costs/weights is dubbed a cost function. For more information about this approach, please see the following publication: **Reference:** *McDermott, M. J., Dwaraknath, S. S., and Persson, K. A. (2021). A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-23339-x*

4.4 BONUS: Enumerating open reactions

Since solid-state synthesis often happens in the presence of some kind of gaseous or "open" environment, it is also possible to enumerate so-called open reactions where a particular entry is open. For this, we can use BasicOpenEnumerator, or MinimizeGrandPotentialEnumerator:

from rxn_network.enumerators.basic import BasicOpenEnumerator
boe = BasicOpenEnumerator(["O2"])
open_rxns = boe.enumerate(entries_030)
get_df_from_rxns(open_rxns)
pe="application/vnd.jupyter.widget-view+json"> reaction5cfaeb1b47449ad2a9cfcba85bb9", "version_major": 2, "version_minor": 0} energy dEv> chemsys/div> v> /div>
0v class="cell border-box-sizing code_cell rendered" markdown="1"> Y + 0.75 O2 -> 0.5 Y2O3izing code_cell rendered" markdown="1"> -3.429551rder-box-sizing code_cell rendered" markdown="1"> 0.061644> O-Y hzdk:80
1v class="output_wrapper" markdown="1"> Y + 0.02703 MnO + 0.7568 O2 -> 0.4865 Y2O3 + 0.02703 YMnO3="1"> -3.349437wrapper" markdown="1"> 0.059158" markdown="1"> Mn-O-Yput_area" markdown="1"> class="output_area" markdown="1">
2> Y + 0.03846 Mn2O3 + 0.7692 O2 -> 0.03846 Y2Mn2O7 + 0.4615 Y2O3l vertex properties, 3 internal edge properties, at 0x7fd7c4631220> -3.154596v> 0.054649v> Mn-O-Y/div> v>
3v> Y + 0.04569 Mn3O4 + 0.7614 O2 -> 0.4315 Y2O3 + 0.1371 YMnO3rkdown="1"> -3.045732"cell border-box-sizing text_cell rendered" markdown="1"> 0.051417"cell border-box-sizing text_cell rendered" markdown="1"> Mn-O-Y border-box-sizing text_cell rendered" markdown="1"> class="inner_cell" markdown="1">
4pathfinding, we first need to set the precursors and target defining the particular synthesis procedure we are interested in. For now, let's look at the synthesis of YMnO$_3$ from the starting binary oxides, Y$_2$O$_3$ and Mn$_2$O$_3$. We first acquire the entries from the set of entries by providing the formula: Y + O2 + 0.02564 YMn12 -> 0.359 Y2O3 + 0.3077 YMnO3l rendered" markdown="1"> -3.007624class="cell border-box-sizing code_cell rendered" markdown="1"> 0.049065"cell border-box-sizing code_cell rendered" markdown="1"> Mn-O-Y border-box-sizing code_cell rendered" markdown="1"> class="input">
... ...v> ...> ...class="cell border-box-sizing text_cell rendered" markdown="1"> ...lass="cell border-box-sizing text_cell rendered" markdown="1"> class="cell border-box-sizing text_cell rendered" markdown="1">
1523xt_cell_render border-box-sizing rendered_html" markdown="1"> 0.359 Y2O3 + 0.3077 YMnO3 -> Y + O2 + 0.02564 YMn12/div> 3.007624v> 0.049065 class="cell border-box-sizing code_cell rendered" markdown="1"> Mn-O-Ys="cell border-box-sizing code_cell rendered" markdown="1"> class="cell border-box-sizing code_cell rendered" markdown="1">
1524 0.4315 Y2O3 + 0.1371 YMnO3 -> Y + 0.04569 Mn3O4 + 0.7614 O2l rendered" markdown="1"> 3.045732iv class="cell border-box-sizing text_cell rendered" markdown="1"> 0.051417v class="cell border-box-sizing text_cell rendered" markdown="1"> Mn-O-Yss="cell border-box-sizing text_cell rendered" markdown="1"> v>
1525ner_cell" markdown="1"> 0.03846 Y2Mn2O7 + 0.4615 Y2O3 -> Y + 0.03846 Mn2O3 + 0.7692 O2 We can also draw a cartoon illustration of what this reaction network looks like using the `plot_network()` function 3.154596 cartoon illustration of what this reaction network looks like using the `plot_network()` function 0.054649v> Mn-O-Yiv class="cell border-box-sizing code_cell rendered" markdown="1"> v>
1526put"> 0.4865 Y2O3 + 0.02703 YMnO3 -> Y + 0.02703 MnO + 0.7568 O2lass="output" markdown="1"> 3.349437v> 0.059158s="output_wrapper" markdown="1"> Mn-O-Yss="output_wrapper" markdown="1"> v class="output_wrapper" markdown="1">
1527tput" markdown="1"> 0.5 Y2O3 -> Y + 0.75 O21"> 3.429551_area" markdown="1"> 0.061644ut_png output_subarea "> O-Youtput_png output_subarea "> class="output_png output_subarea "> mg 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" width=600 height=596 >

1528 rows × 4 columns

If these reactions involve an open entry that is also an element, then it is possible to recalculate the reaction energy in terms of grand potential. For this it helps to import ReactionSet for recalculating reaction energies all at once:

from rxn_network.reactions.reaction_set import ReactionSet
rxn_set = ReactionSet.from_rxns(open_rxns)
open_rxns_grand = rxn_set.get_rxns(open_elem=Element("O"), chempot=0.0)
get_df_from_rxns(open_rxns_grand)
0.3333 YMn12 -> 3.667 Mn + 2.333 YMnO3 (dG = -0.249 eV/atom) Total Cost: 0.467 1.026 Y2O3 + 1.308 Mn2O3 -> Y2Mn2O7 + 0.05128 YMn12 (dG = 0.142 eV/atom) Y2Mn2O7 + 0.07143 YMn12 -> 0.7857 MnO + 2.071 YMnO3 (dG = -0.246 eV/atom) Total Cost: 0.467 0.5 Y2O3 + Mn2O3 -> MnO + 0.5 Y2Mn2O7 (dG = 0.012 eV/atom) 2 MnO + Y2Mn2O7 -> Mn2O3 + 2 YMnO3 (dG = -0.058 eV/atom) Total Cost: 0.473 reaction 1.026 Y2O3 + 1.308 Mn2O3 -> Y2Mn2O7 + 0.05128 YMn12 (dG = 0.142 eV/atom) Y2Mn2O7 + 0.07143 YMn12 -> 0.7857 MnO + 2.071 YMnO3 (dG = -0.246 eV/atom) Total Cost: 0.467 0.5 Y2O3 + Mn2O3 -> MnO + 0.5 Y2Mn2O7 (dG = 0.012 eV/atom) 2 MnO + Y2Mn2O7 -> Mn2O3 + 2 YMnO3 (dG = -0.058 eV/atom) Total Cost: 0.473 energy308 Mn2O3 -> Y2Mn2O7 + 0.05128 YMn12 (dG = 0.142 eV/atom) Y2Mn2O7 + 0.07143 YMn12 -> 0.7857 MnO + 2.071 YMnO3 (dG = -0.246 eV/atom) Total Cost: 0.467 0.5 Y2O3 + Mn2O3 -> MnO + 0.5 Y2Mn2O7 (dG = 0.012 eV/atom) 2 MnO + Y2Mn2O7 -> Mn2O3 + 2 YMnO3 (dG = -0.058 eV/atom) Total Cost: 0.473 dE 1.308 Mn2O3 -> Y2Mn2O7 + 0.05128 YMn12 (dG = 0.142 eV/atom) Y2Mn2O7 + 0.07143 YMn12 -> 0.7857 MnO + 2.071 YMnO3 (dG = -0.246 eV/atom) Total Cost: 0.467 0.5 Y2O3 + Mn2O3 -> MnO + 0.5 Y2Mn2O7 (dG = 0.012 eV/atom) 2 MnO + Y2Mn2O7 -> Mn2O3 + 2 YMnO3 (dG = -0.058 eV/atom) Total Cost: 0.473 chemsys YMn12 -> 0.7857 MnO + 2.071 YMnO3 (dG = -0.246 eV/atom) Total Cost: 0.467 0.5 Y2O3 + Mn2O3 -> MnO + 0.5 Y2Mn2O7 (dG = 0.012 eV/atom) 2 MnO + Y2Mn2O7 -> Mn2O3 + 2 YMnO3 (dG = -0.058 eV/atom) Total Cost: 0.473 l Cost: 0.467 0.5 Y2O3 + Mn2O3 -> MnO + 0.5 Y2Mn2O7 (dG = 0.012 eV/atom) 2 MnO + Y2Mn2O7 -> Mn2O3 + 2 YMnO3 (dG = -0.058 eV/atom) Total Cost: 0.473 .5 Y2O3 + Mn2O3 -> MnO + 0.5 Y2Mn2O7 (dG = 0.012 eV/atom) 2 MnO + Y2Mn2O7 -> Mn2O3 + 2 YMnO3 (dG = -0.058 eV/atom) Total Cost: 0.473
0 0.473 Y + 0.75 O2 -> 0.5 Y2O3> -8.573877v> 0.154110v> Yv> v>
1v> Y + 0.02703 MnO + 0.7568 O2 -> 0.4865 Y2O3 + 0.02703 YMnO3arkdown="1"> -8.373593"cell border-box-sizing text_cell rendered" markdown="1"> 0.147896"cell border-box-sizing text_cell rendered" markdown="1"> Mn-Yll border-box-sizing text_cell rendered" markdown="1"> class="inner_cell" markdown="1">
2: Finding and balancing reaction pathways from a real experiment ### NOTE: this last section can take a few minutes to run! In 2019, Todd et al. reported the synthesis of YMnO3 through an "assisted metathesis" approach corresponding to the following reaction equation: $$ Mn_2O_3 + 2 YCl_3 + 3 Li_2CO_3 \rightarrow 2 YMnO_3 + 6 LiCl + 3 CO_2 $$ They also observed the following progression of phases, as determined via in situ X-ray diffraction on a synchrotron beamline: Y + 0.03846 Mn2O3 + 0.7692 O2 -> 0.03846 Y2Mn2O7 + 0.4615 Y2O3et al. reported the synthesis of YMnO3 through an "assisted metathesis" approach corresponding to the following reaction equation: $$ Mn_2O_3 + 2 YCl_3 + 3 Li_2CO_3 \rightarrow 2 YMnO_3 + 6 LiCl + 3 CO_2 $$ They also observed the following progression of phases, as determined via in situ X-ray diffraction on a synchrotron beamline: -7.999155 section can take a few minutes to run! In 2019, Todd et al. reported the synthesis of YMnO3 through an "assisted metathesis" approach corresponding to the following reaction equation: $$ Mn_2O_3 + 2 YCl_3 + 3 Li_2CO_3 \rightarrow 2 YMnO_3 + 6 LiCl + 3 CO_2 $$ They also observed the following progression of phases, as determined via in situ X-ray diffraction on a synchrotron beamline: 0.138574al. reported the synthesis of YMnO3 through an "assisted metathesis" approach corresponding to the following reaction equation: $$ Mn_2O_3 + 2 YCl_3 + 3 Li_2CO_3 \rightarrow 2 YMnO_3 + 6 LiCl + 3 CO_2 $$ They also observed the following progression of phases, as determined via in situ X-ray diffraction on a synchrotron beamline: Mn-Yet al. reported the synthesis of YMnO3 through an "assisted metathesis" approach corresponding to the following reaction equation: $$ Mn_2O_3 + 2 YCl_3 + 3 Li_2CO_3 \rightarrow 2 YMnO_3 + 6 LiCl + 3 CO_2 $$ They also observed the following progression of phases, as determined via in situ X-ray diffraction on a synchrotron beamline: Mn_2O_3 + 2 YCl_3 + 3 Li_2CO_3 \rightarrow 2 YMnO_3 + 6 LiCl + 3 CO_2 $$ They also observed the following progression of phases, as determined via in situ X-ray diffraction on a synchrotron beamline:
3observed the following progression of phases, as determined via in situ X-ray diffraction on a synchrotron beamline: Y + O2 + 0.01961 YMn12 -> 0.1176 Y2Mn2O7 + 0.3922 Y2O3ed via in situ X-ray diffraction on a synchrotron beamline: -7.748977> 0.129626 class="cell border-box-sizing text_cell rendered" markdown="1"> Mn-Yass="cell border-box-sizing text_cell rendered" markdown="1"> class="cell border-box-sizing text_cell rendered" markdown="1">
4"text_cell_render border-box-sizing rendered_html" markdown="1"> Y + O2 + 0.25 Mn -> 0.125 Y2Mn2O7 + 0.375 Y2O3odd, P. K., Smith, A. M., & Neilson, J. R. (2019). Yttrium manganese oxide phase stability and selectivity using lithium carbonate assisted metathesis reactions. Inorganic Chemistry, 58(22), 15166–15174. https://doi.org/10.1021/acs.inorgchem.9b02075* -7.694811dd, P. K., Smith, A. M., & Neilson, J. R. (2019). Yttrium manganese oxide phase stability and selectivity using lithium carbonate assisted metathesis reactions. Inorganic Chemistry, 58(22), 15166–15174. https://doi.org/10.1021/acs.inorgchem.9b02075* 0.129422dd, P. K., Smith, A. M., & Neilson, J. R. (2019). Yttrium manganese oxide phase stability and selectivity using lithium carbonate assisted metathesis reactions. Inorganic Chemistry, 58(22), 15166–15174. https://doi.org/10.1021/acs.inorgchem.9b02075* Mn-Y v>
...ell border-box-sizing text_cell rendered" markdown="1"> ...nner_cell" markdown="1"> ...ext_cell_render border-box-sizing rendered_html" markdown="1"> ... synthesis, we first acquire the entries for the entire 6-element chemical system from MP: ... v>
1523ll border-box-sizing code_cell rendered" markdown="1"> 0.125 Y2Mn2O7 + 0.375 Y2O3 -> Y + O2 + 0.25 Mns="cell border-box-sizing text_cell rendered" markdown="1"> 7.694811iv> 0.129422v> Mn-Y> v>
1524ass="cell border-box-sizing text_cell rendered" markdown="1"> 0.1176 Y2Mn2O7 + 0.3922 Y2O3 -> Y + O2 + 0.01961 YMn12> 7.748977cell" markdown="1"> 0.129626ell_render border-box-sizing rendered_html" markdown="1"> Mn-Ythis entries by a stability filter of 20 meV/atom at T = 650 ºC: v>
1525ass="cell border-box-sizing code_cell rendered" markdown="1"> 0.03846 Y2Mn2O7 + 0.4615 Y2O3 -> Y + 0.03846 Mn2O3 + 0.7692 O2lass="input"> 7.999155> 0.138574iv> Mn-Y iv>
1526lass="cell border-box-sizing text_cell rendered" markdown="1"> 0.4865 Y2O3 + 0.02703 YMnO3 -> Y + 0.02703 MnO + 0.7568 O2"1"> 8.373593order-box-sizing text_cell rendered" markdown="1"> 0.147896cell" markdown="1"> Mn-Yxt_cell_render border-box-sizing rendered_html" markdown="1"> hen designate the enumerator, cost function, and build the network. **NOTE: This may take a minute to build**!
1527
0.5 Y2O3 -> Y + 0.75 O2izing code_cell rendered" markdown="1"> 8.573877order-box-sizing code_cell rendered" markdown="1"> 0.154110> Y7 hzdk:87 /div>

1528 rows × 4 columns

Similarly, it is also possible to enumerate reactions straight from the grand potential phase diagram:

from rxn_network.enumerators.minimize import MinimizeGrandPotentialEnumerator

mgpe = MinimizeGrandPotentialEnumerator(open_elem=Element("O"), mu=0.0)
open_rxns2 = mgpe.enumerate(entries_030)
get_df_from_rxns(open_rxns2)
----------------------------- 2 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 0.5 Y2Mn2O7 + 0.5 Mn2O3 -> MnO2 + YMnO3 (dG = 0.005 eV/atom) Total Cost: 0.516 2 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 2 Y2Mn2O7 -> O2 + 4 YMnO3 (dG = 0.037 eV/atom) Total Cost: 0.523 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 reaction-> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 0.5 Y2Mn2O7 + 0.5 Mn2O3 -> MnO2 + YMnO3 (dG = 0.005 eV/atom) Total Cost: 0.516 2 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 2 Y2Mn2O7 -> O2 + 4 YMnO3 (dG = 0.037 eV/atom) Total Cost: 0.523 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 energy -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 0.5 Y2Mn2O7 + 0.5 Mn2O3 -> MnO2 + YMnO3 (dG = 0.005 eV/atom) Total Cost: 0.516 2 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 2 Y2Mn2O7 -> O2 + 4 YMnO3 (dG = 0.037 eV/atom) Total Cost: 0.523 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 dE+ 0.5 Mn2O3 -> MnO2 + YMnO3 (dG = 0.005 eV/atom) Total Cost: 0.516 2 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 2 Y2Mn2O7 -> O2 + 4 YMnO3 (dG = 0.037 eV/atom) Total Cost: 0.523 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 chemsys 2 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 2 Y2Mn2O7 -> O2 + 4 YMnO3 (dG = 0.037 eV/atom) Total Cost: 0.523 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Cl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 2 Y2Mn2O7 -> O2 + 4 YMnO3 (dG = 0.037 eV/atom) Total Cost: 0.523 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 2 Y2Mn2O7 -> O2 + 4 YMnO3 (dG = 0.037 eV/atom) Total Cost: 0.523 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
0n2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2 Y + 1.5 O2 -> Y2O3nO3 (dG = 0.009 eV/atom) YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -8.573877YMnO3 + CCl3 (dG = 0.393 eV/atom) Total Cost: 0.625 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.154110 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Y 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
13 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.722 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2 Mn + 2 Y + 3.5 O2 -> Y2Mn2O7gt; LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -6.376210O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.166771O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.728 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
2 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.1667 YMn12 + 1.833 Y + 3.5 O2 -> Y2Mn2O70.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -6.3741447 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.166797-> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
3Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2 MnO + 2 Y + 2.5 O2 -> Y2Mn2O7tom) Total Cost: 0.734 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -4.854178 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.161051+ Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-YO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 33 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) Total Cost: 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
4 0.74 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.6667 Mn3O4 + 2 Y + 2.167 O2 -> Y2Mn2O7 = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -4.6792413 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.160835YClO + 2 LiCl (dG = -0.275 eV/atom) YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-YMn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) Total Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 l Cost: 0.742 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
5; CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.4 Mn5O8 + 2 Y + 1.9 O2 -> Y2Mn2O7YO2 (dG = -0.254 eV/atom) LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -4.568917> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) Total Cost: 0.746 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.161284 PATHS to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 S to LiCl --------------------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
6---------------------------- 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn2O3 + 2 Y + 2 O2 -> Y2Mn2O7.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -4.5508203 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.161051gt; Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y478 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 i2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
7 -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.483 2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2 MnO2 + 2 Y + 1.5 O2 -> Y2Mn2O7; LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -4.474267O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.162980O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 l Cost: 0.487 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
8; CO2 + Li2O (dG = 0.139 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2 YMn12 + 25.5 O2 -> Y2Mn2O7 + 22 MnO2tom) Total Cost: 0.491 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -4.195813 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.169340+ Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-YO2 + Li2O (dG = 0.139 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.495 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
9t; CO2 + Li2O (dG = 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn + O2 -> MnO2= 0.139 eV/atom) 0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -3.8038857 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) Total Cost: 0.499 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.187083 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 O3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
10i2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.717 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.1667 YMn12 + 0.9167 Y2O3 + 2.125 O2 -> Y2Mn2O7= 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -2.444450t; MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.160450t; MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y25 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 l3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.72 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
112O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2 Mn + Y2O3 + 2 O2 -> Y2Mn2O7 0.046 eV/atom) LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -2.089271> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.161051YClO + 2 LiCl (dG = -0.275 eV/atom) Total Cost: 0.721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y721 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
125 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 MnO + 0.5 O2 -> MnO2Cl (dG = -0.3 eV/atom) Total Cost: 0.721 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -0.759822 PATHS to CO2 --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.187083------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn --------------------------------------- 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 ------------------------------------ 0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
13+ 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 2 MnO + Y2O3 + O2 -> Y2Mn2O7 CO2 (dG = 0.005 eV/atom) Total Cost: 0.26 2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -0.5672402 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.1610514CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y Li4CO4 + CO2 (dG = 0.051 eV/atom) Total Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 l Cost: 0.271 Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
14 CO2 + Li2O (dG = 0.139 eV/atom) Total Cost: 0.293 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.3333 Mn3O4 + 0.3333 O2 -> MnO23 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -0.409947t; MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.192931t; MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) Total Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 l Cost: 0.516 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
15O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.6667 Mn3O4 + Y2O3 + 0.6667 O2 -> Y2Mn2O7= -0.014 eV/atom) Total Cost: 0.517 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -0.392302 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.162767gt; MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) Total Cost: 0.518 2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
162 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.4 Mn5O8 + Y2O3 + 0.4 O2 -> Y2Mn2O7G = 0.006 eV/atom) LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -0.281979MnO2 + 2 CO2 (dG = -0.0 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.164735 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 O3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) Total Cost: 0.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
170.519 Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn2O3 + Y2O3 + 0.5 O2 -> Y2Mn2O7.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 -0.263881; LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.163936gt; 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) Total Cost: 0.52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 Mn-Y52 Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52
182MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) Total Cost: 0.52 0.2 Mn5O8 + 0.2 O2 -> MnO2> -0.189300iv> 0.199499iv> Mn> v>
19v> 0.5 Mn2O3 + 0.25 O2 -> MnO2order-box-sizing text_cell rendered" markdown="1"> -0.153105 class="cell border-box-sizing text_cell rendered" markdown="1"> 0.196850="cell border-box-sizing text_cell rendered" markdown="1"> Mnclass="cell border-box-sizing text_cell rendered" markdown="1"> class="cell border-box-sizing text_cell rendered" markdown="1">
20text_cell_render border-box-sizing rendered_html" markdown="1"> 2 YMnO3 + 0.5 O2 -> Y2Mn2O7 filter out unfeasbile pathways. To do this, we import and use the `PathwaySolver` class: -0.085706> 0.186246 class="cell border-box-sizing code_cell rendered" markdown="1"> Mn-Yass="cell border-box-sizing code_cell rendered" markdown="1"> class="cell border-box-sizing code_cell rendered" markdown="1"> iv class="input">

5. Constructing a reaction network from enumerated reactions

Now that we have a way to enumerate all reactions within a chemical system, we'd like to be able to put them in a convenient data structure such that we can learn something about a system. One particular data structure that is helpful for predicting reaction pathways is a weighted directed graph.

The weighted directed graph, or reaction network, connects all phases within the chemical system via the possible reactions between them. This corresponds to a structure like the following: - Nodes: Phase combinations - Edges: Reactions - Edge weights/costs: Reaction free energies (after monotonic transformation)

The function that monotonically transforms reaction free energies to (positive) costs/weights is dubbed a cost function.

For more information about this approach, please see the following publication:

Reference: McDermott, M. J., Dwaraknath, S. S., and Persson, K. A. (2021). A graph-based network for predicting chemical reaction pathways in solid-state materials synthesis. Nature Communications, 12(1). https://doi.org/10.1038/s41467-021-23339-x

Let's start by reacquiring entries for the Y-Mn-O system and filtering for stable entries at T = 900 K:

with MPRester() as mpr:
    mp_entries = mpr.get_entries_in_chemsys("Y-Mn-O")
gibbs_entries = GibbsEntrySet.from_entries(mp_entries, temperature=900).filter_by_stability(0)

Now we specify the enumerator(s) and cost function to use in the network construction. At the moment, only the softplus function is implemented.

from rxn_network.costs.softplus import Softplus

be = BasicEnumerator()
cf = Softplus(temp=1000)

We then initialize our reaction network object:

from rxn_network.network.network import ReactionNetwork

rn = ReactionNetwork(gibbs_entries, [be], cf)

The network can be built by calling build(). This runs through each enumerator provided, and constructs the reaction network structure within the graph-tool package. The graph object is stored under the graph attribute.

rn.build()
print(rn.graph)
<Graph object, directed, with 86 vertices and 267 edges, 2 internal vertex properties, 3 internal edge properties, at 0x7fd7c4631220>

To perform pathfinding, we first need to set the precursors and target defining the particular synthesis procedure we are interested in. For now, let's look at the synthesis of YMnO\(_3\) from the starting binary oxides, Y\(_2\)O\(_3\) and Mn\(_2\)O\(_3\). We first acquire the entries from the set of entries by providing the formula:

y2o3_entry = gibbs_entries.get_min_entry_by_formula("Y2O3")
mn2o3_entry = gibbs_entries.get_min_entry_by_formula("Mn2O3")
ymno3_entry = gibbs_entries.get_min_entry_by_formula("YMnO3")

And then we set the precursors and target nodes:

rn.set_precursors([y2o3_entry, mn2o3_entry])
rn.set_target(ymno3_entry)

We can also draw a cartoon illustration of what this reaction network looks like using the plot_network() function

from rxn_network.network.visualize import plot_network

plot_network(rn.graph);

We can perform simple pathfinding between the precursors node and target node. This finds the k-shortest paths between our precursors and target, which yields a sequence of reaction steps. Note: these are not necessarily mass balanced!

paths = rn.find_pathways(["YMnO3"], k=10)
PATHS to YMnO3 

--------------------------------------- 

Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) 
Total Cost: 0.227 

1.026 Y2O3 + 1.308 Mn2O3 -> Y2Mn2O7 + 0.05128 YMn12 (dG = 0.142 eV/atom) 
Mn2O3 + 0.07143 YMn12 -> 2.786 MnO + 0.07143 YMnO3 (dG = -0.349 eV/atom) 
Total Cost: 0.45 

1.333 Y2O3 + Mn2O3 -> Y2Mn2O7 + 0.6667 Y (dG = 0.401 eV/atom) 
Mn2O3 + Y -> Mn + YMnO3 (dG = -0.877 eV/atom) 
Total Cost: 0.45 

1.333 Y2O3 + Mn2O3 -> Y2Mn2O7 + 0.6667 Y (dG = 0.401 eV/atom) 
12 Mn2O3 + 13 Y -> YMn12 + 12 YMnO3 (dG = -0.866 eV/atom) 
Total Cost: 0.451 

1.026 Y2O3 + 1.308 Mn2O3 -> Y2Mn2O7 + 0.05128 YMn12 (dG = 0.142 eV/atom) 
0.07692 Mn2O3 + 0.07692 YMn12 -> Mn + 0.07692 YMnO3 (dG = -0.287 eV/atom) 
Total Cost: 0.46 

0.01282 Y2O3 + 0.6538 Mn2O3 -> MnO2 + 0.02564 YMn12 (dG = 0.365 eV/atom) 
MnO2 + 0.07143 YMn12 -> 1.786 MnO + 0.07143 YMnO3 (dG = -0.649 eV/atom) 
Total Cost: 0.465 

1.5 Y2O3 + 2 Mn2O3 -> Mn + 1.5 Y2Mn2O7 (dG = 0.121 eV/atom) 
Mn + Y2Mn2O7 -> MnO + 2 YMnO3 (dG = -0.225 eV/atom) 
Total Cost: 0.466 

1.026 Y2O3 + 1.308 Mn2O3 -> Y2Mn2O7 + 0.05128 YMn12 (dG = 0.142 eV/atom) 
Y2Mn2O7 + 0.3333 YMn12 -> 3.667 Mn + 2.333 YMnO3 (dG = -0.249 eV/atom) 
Total Cost: 0.467 

1.026 Y2O3 + 1.308 Mn2O3 -> Y2Mn2O7 + 0.05128 YMn12 (dG = 0.142 eV/atom) 
Y2Mn2O7 + 0.07143 YMn12 -> 0.7857 MnO + 2.071 YMnO3 (dG = -0.246 eV/atom) 
Total Cost: 0.467 

0.5 Y2O3 + Mn2O3 -> MnO + 0.5 Y2Mn2O7 (dG = 0.012 eV/atom) 
2 MnO + Y2Mn2O7 -> Mn2O3 + 2 YMnO3 (dG = -0.058 eV/atom) 
Total Cost: 0.473 


6. BONUS: Finding and balancing reaction pathways from a real experiment

NOTE: this last section can take a few minutes to run!

In 2019, Todd et al. reported the synthesis of YMnO3 through an "assisted metathesis" approach corresponding to the following reaction equation:

\[ Mn_2O_3 + 2 YCl_3 + 3 Li_2CO_3 \rightarrow 2 YMnO_3 + 6 LiCl + 3 CO_2 \]

They also observed the following progression of phases, as determined via in situ X-ray diffraction on a synchrotron beamline:

Reference: Todd, P. K., Smith, A. M., & Neilson, J. R. (2019). Yttrium manganese oxide phase stability and selectivity using lithium carbonate assisted metathesis reactions. Inorganic Chemistry, 58(22), 15166–15174. https://doi.org/10.1021/acs.inorgchem.9b02075

To model this synthesis, we first acquire the entries for the entire 6-element chemical system from MP:

with MPRester() as mpr:
    entries = mpr.get_entries_in_chemsys("Y-Mn-O-Li-Cl-C")

And we filter this entries by a stability filter of 20 meV/atom at T = 650 ºC:

temp = 650 + 273
gibbs_entries = GibbsEntrySet.from_entries(entries, temperature=temp).filter_by_stability(0.020)

We then designate the enumerator, cost function, and build the network. NOTE: This may take a minute to build!

be = BasicEnumerator()
cf = Softplus(temp=temp)
rn = ReactionNetwork(gibbs_entries, [be], cf)
rn.build()

As before, we then set the precursors:

rn.set_precursors([gibbs_entries.get_min_entry_by_formula("Li2CO3"), 
                   gibbs_entries.get_min_entry_by_formula("Mn2O3"), 
                   gibbs_entries.get_min_entry_by_formula("YCl3")])

And then we perform pathfinding to all three targets simultaneously:

paths = rn.find_pathways(["YMnO3","LiCl","CO2"], k=10)
PATHS to YMnO3 

--------------------------------------- 

2 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 
0.5 Y2Mn2O7 + 0.5 Mn2O3 -> MnO2 + YMnO3 (dG = 0.005 eV/atom) 
Total Cost: 0.516 

2 YCl3 + 9 Mn2O3 -> Y2Mn2O7 + 2 Mn8Cl3O10 (dG = -0.015 eV/atom) 
2 Y2Mn2O7 -> O2 + 4 YMnO3 (dG = 0.037 eV/atom) 
Total Cost: 0.523 

Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) 
YCl3 + MnCO3 -> YMnO3 + CCl3 (dG = 0.393 eV/atom) 
Total Cost: 0.625 

2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 
2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) 
Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) 
Total Cost: 0.722 

2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 
0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) 
LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) 
Total Cost: 0.728 

2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 
0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) 
LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) 
Total Cost: 0.734 

Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 
2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) 
Y2O3 + Mn2O3 -> 2 YMnO3 (dG = -0.069 eV/atom) 
Total Cost: 0.734 

Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 
0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) 
LiYO2 + Mn2O3 -> YMnO3 + LiMnO2 (dG = -0.082 eV/atom) 
Total Cost: 0.74 

2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 
YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) 
YClO + 0.3333 Mn2O3 -> 0.3333 YCl3 + 0.6667 YMnO3 (dG = -0.0 eV/atom) 
Total Cost: 0.742 

Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 
0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) 
LiYO2 + 0.5 Mn2O3 -> YMnO3 + 0.5 Li2O (dG = -0.054 eV/atom) 
Total Cost: 0.746 

PATHS to LiCl 

--------------------------------------- 

2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 
2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) 
Total Cost: 0.478 

2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 
YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) 
Total Cost: 0.483 

2 Li2CO3 + 0.5 Mn2O3 -> LiMn(CO3)2 + 1.5 Li2O (dG = 0.089 eV/atom) 
0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) 
Total Cost: 0.487 

Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 
2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) 
Total Cost: 0.491 

Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 
YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) 
Total Cost: 0.495 

Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 
0.3333 YCl3 + 0.6667 Li2O -> LiCl + 0.3333 LiYO2 (dG = -0.254 eV/atom) 
Total Cost: 0.499 

Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) 
LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 
2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) 
Total Cost: 0.717 

Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) 
Li2MnO3 + 0.8125 Mn2O3 -> 0.125 Li9Mn21O40 + 0.4375 Li2O (dG = 0.008 eV/atom) 
2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) 
Total Cost: 0.72 

Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) 
LiCO2 + 0.5 Mn2O3 -> MnCO3 + 0.5 Li2O (dG = -0.045 eV/atom) 
YCl3 + Li2O -> YClO + 2 LiCl (dG = -0.275 eV/atom) 
Total Cost: 0.721 

Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) 
Li2MnO3 + 0.5 Mn2O3 -> LiMn2O4 + 0.5 Li2O (dG = 0.013 eV/atom) 
2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) 
Total Cost: 0.721 

PATHS to CO2 

--------------------------------------- 

0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) 
Total Cost: 0.26 

2 Li2CO3 -> Li4CO4 + CO2 (dG = 0.051 eV/atom) 
Total Cost: 0.271 

Li2CO3 -> CO2 + Li2O (dG = 0.139 eV/atom) 
Total Cost: 0.293 

Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) 
MnCO3 + 5 Li2MnO3 -> 2 Li5Mn3O8 + CO2 (dG = -0.017 eV/atom) 
Total Cost: 0.516 

Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) 
MnCO3 + 2.333 Li2MnO3 -> 0.6667 Li7Mn5O12 + CO2 (dG = -0.014 eV/atom) 
Total Cost: 0.517 

Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) 
MnCO3 + 3 Li2MnO3 -> 2 Li3Mn2O5 + CO2 (dG = -0.012 eV/atom) 
Total Cost: 0.518 

2 Li2CO3 + 2 Mn2O3 -> LiMn(CO3)2 + 3 LiMnO2 (dG = 0.006 eV/atom) 
LiMn(CO3)2 -> LiMnO2 + 2 CO2 (dG = -0.0 eV/atom) 
Total Cost: 0.519 

Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) 
MnCO3 + Li2MnO3 -> 2 LiMnO2 + CO2 (dG = -0.004 eV/atom) 
Total Cost: 0.519 

Li2CO3 + Mn2O3 -> LiCO2 + LiMn2O4 (dG = 0.046 eV/atom) 
LiCO2 + LiMn2O4 -> 2 LiMnO2 + CO2 (dG = -0.04 eV/atom) 
Total Cost: 0.52 

Li2CO3 + Mn2O3 -> MnCO3 + Li2MnO3 (dG = 0.009 eV/atom) 
MnCO3 + 2 Li2MnO3 -> Li4Mn3O7 + CO2 (dG = -0.002 eV/atom) 
Total Cost: 0.52 


Finally, we must enforce mass balance to filter out unfeasbile pathways. To do this, we import and use the PathwaySolver class:

from rxn_network.pathways.solver import PathwaySolver
from rxn_network.reactions.computed import ComputedReaction

ps = PathwaySolver(rn.entries, paths, Softplus(1000))

The PathwaySolver takes a net reaction by which to enforce mass balance, i.e. total consumption of all produced intermediates. This corresponds to the previous reaction formula we showed. We can create a ComputedReaction object by finding the relevant entries and providing them to the reaction constructor:

product_entries = []

for i in ["YMnO3", "LiCl", "CO2"]:
    product_entries.append(gibbs_entries.get_min_entry_by_formula(i))
net_rxn = ComputedReaction.balance(rn.precursors,product_entries)
print(net_rxn)
1.5 Li2CO3 + YCl3 + 0.5 Mn2O3 -> YMnO3 + 3 LiCl + 1.5 CO2

Finally, we solve for the balanced paths and print them. This may take a minute!

balanced_paths = ps.solve(net_rxn)

The final balanced pathways can be printed, as below:

for p in balanced_paths:
    print(p, "\n")
Li2CO3 -> Li2O + CO2 (dG = 0.139 eV/atom) 
0.5 YCl3 + 0.5 Li2O -> LiCl + 0.5 YClO (dG = -0.275 eV/atom) 
0.5 Li2CO3 + 0.5 Mn2O3 -> LiMnO2 + 0.5 CO2 (dG = 0.005 eV/atom) 
LiMnO2 + YClO -> LiCl + YMnO3 (dG = -0.083 eV/atom) 
Average Cost: 0.245 

0.5 Mn2O3 + 0.5 Y2O3 -> YMnO3 (dG = -0.069 eV/atom) 
Li2CO3 -> Li2O + CO2 (dG = 0.139 eV/atom) 
0.5 YCl3 + 0.5 Li2O -> LiCl + 0.5 YClO (dG = -0.275 eV/atom) 
Li2O + 2 YClO -> Y2O3 + 2 LiCl (dG = -0.138 eV/atom) 
Average Cost: 0.249 

2 YCl3 + 3 Li2O -> Y2O3 + 6 LiCl (dG = -0.3 eV/atom) 
0.5 Mn2O3 + 0.5 Y2O3 -> YMnO3 (dG = -0.069 eV/atom) 
Li2CO3 -> Li2O + CO2 (dG = 0.139 eV/atom) 
Average Cost: 0.264 


The balanced pathways are ordered by likelihood, as determined by an averaged cost.

The pathways above successfully capture many of the experimentally observed intermediates and reaction steps, such as the reaction of YOCl and LiMnO\(_2\).

For more information or questions regarding this lesson, please contact mcdermott [at] lbl.gov Thank you!